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Finding the Third Proportional to 347,010 and 472,743

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Solution

The third proportional to 347,010 and 472,743 is: 644,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,010 : 472,743 = 472,743 : x
  2. Step 2: Convert to fraction form
    347,010/472,743 = 472,743/x
  3. Step 3: Cross multiply
    347,010x = 472,743 × 472,743
  4. Step 4: Simplify right side
    347,010x = 223,485,944,049
  5. Step 5: Solve for x
    x = 223,485,944,049/347,010
  6. Step 6: Final answer
    x = 644,033.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.