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Finding the Third Proportional to 472,743 and 707,454

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Solution

The third proportional to 472,743 and 707,454 is: 1,058,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,743 : 707,454 = 707,454 : x
  2. Step 2: Convert to fraction form
    472,743/707,454 = 707,454/x
  3. Step 3: Cross multiply
    472,743x = 707,454 × 707,454
  4. Step 4: Simplify right side
    472,743x = 500,491,162,116
  5. Step 5: Solve for x
    x = 500,491,162,116/472,743
  6. Step 6: Final answer
    x = 1,058,696.08

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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.