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Finding the Third Proportional to 417,699 and 857,531

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Solution

The third proportional to 417,699 and 857,531 is: 1,760,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,699 : 857,531 = 857,531 : x
  2. Step 2: Convert to fraction form
    417,699/857,531 = 857,531/x
  3. Step 3: Cross multiply
    417,699x = 857,531 × 857,531
  4. Step 4: Simplify right side
    417,699x = 735,359,415,961
  5. Step 5: Solve for x
    x = 735,359,415,961/417,699
  6. Step 6: Final answer
    x = 1,760,500.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.