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Finding the Third Proportional to 472,583 and 717,612

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Solution

The third proportional to 472,583 and 717,612 is: 1,089,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,583 : 717,612 = 717,612 : x
  2. Step 2: Convert to fraction form
    472,583/717,612 = 717,612/x
  3. Step 3: Cross multiply
    472,583x = 717,612 × 717,612
  4. Step 4: Simplify right side
    472,583x = 514,966,982,544
  5. Step 5: Solve for x
    x = 514,966,982,544/472,583
  6. Step 6: Final answer
    x = 1,089,685.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.