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Finding the Third Proportional to 702,499.50 and 1,511,561.25

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Solution

The third proportional to 702,499.50 and 1,511,561.25 is: 3,252,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,499.50 : 1,511,561.25 = 1,511,561.25 : x
  2. Step 2: Convert to fraction form
    702,499.50/1,511,561.25 = 1,511,561.25/x
  3. Step 3: Cross multiply
    702,499.50x = 1,511,561.25 × 1,511,561.25
  4. Step 4: Simplify right side
    702,499.50x = 2,284,817,412,501.56
  5. Step 5: Solve for x
    x = 2,284,817,412,501.56/702,499.50
  6. Step 6: Final answer
    x = 3,252,411.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.