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Finding the Third Proportional to 472,397 and 717,344

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Solution

The third proportional to 472,397 and 717,344 is: 1,089,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,397 : 717,344 = 717,344 : x
  2. Step 2: Convert to fraction form
    472,397/717,344 = 717,344/x
  3. Step 3: Cross multiply
    472,397x = 717,344 × 717,344
  4. Step 4: Simplify right side
    472,397x = 514,582,414,336
  5. Step 5: Solve for x
    x = 514,582,414,336/472,397
  6. Step 6: Final answer
    x = 1,089,300.77

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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.