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Finding the Third Proportional to 715,285.69 and 1,002,471.19

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Solution

The third proportional to 715,285.69 and 1,002,471.19 is: 1,404,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,285.69 : 1,002,471.19 = 1,002,471.19 : x
  2. Step 2: Convert to fraction form
    715,285.69/1,002,471.19 = 1,002,471.19/x
  3. Step 3: Cross multiply
    715,285.69x = 1,002,471.19 × 1,002,471.19
  4. Step 4: Simplify right side
    715,285.69x = 1,004,948,481,767.66
  5. Step 5: Solve for x
    x = 1,004,948,481,767.66/715,285.69
  6. Step 6: Final answer
    x = 1,404,960.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.