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Finding the Third Proportional to 507,444,567.75 and 807,452,453.81

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Solution

The third proportional to 507,444,567.75 and 807,452,453.81 is: 1,284,828,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,444,567.75 : 807,452,453.81 = 807,452,453.81 : x
  2. Step 2: Convert to fraction form
    507,444,567.75/807,452,453.81 = 807,452,453.81/x
  3. Step 3: Cross multiply
    507,444,567.75x = 807,452,453.81 × 807,452,453.81
  4. Step 4: Simplify right side
    507,444,567.75x = 651,979,465,167,827,456
  5. Step 5: Solve for x
    x = 651,979,465,167,827,456/507,444,567.75
  6. Step 6: Final answer
    x = 1,284,828,938.18

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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.