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Finding the Third Proportional to 472,675 and 707,359

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Solution

The third proportional to 472,675 and 707,359 is: 1,058,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,675 : 707,359 = 707,359 : x
  2. Step 2: Convert to fraction form
    472,675/707,359 = 707,359/x
  3. Step 3: Cross multiply
    472,675x = 707,359 × 707,359
  4. Step 4: Simplify right side
    472,675x = 500,356,754,881
  5. Step 5: Solve for x
    x = 500,356,754,881/472,675
  6. Step 6: Final answer
    x = 1,058,564.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.