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Finding the Third Proportional to 507,444,570.50 and 807,452,457.75

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Solution

The third proportional to 507,444,570.50 and 807,452,457.75 is: 1,284,828,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,444,570.50 : 807,452,457.75 = 807,452,457.75 : x
  2. Step 2: Convert to fraction form
    507,444,570.50/807,452,457.75 = 807,452,457.75/x
  3. Step 3: Cross multiply
    507,444,570.50x = 807,452,457.75 × 807,452,457.75
  4. Step 4: Simplify right side
    507,444,570.50x = 651,979,471,526,515,584
  5. Step 5: Solve for x
    x = 651,979,471,526,515,584/507,444,570.50
  6. Step 6: Final answer
    x = 1,284,828,943.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.