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Finding the Third Proportional to 347,027 and 472,764

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Solution

The third proportional to 347,027 and 472,764 is: 644,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,027 : 472,764 = 472,764 : x
  2. Step 2: Convert to fraction form
    347,027/472,764 = 472,764/x
  3. Step 3: Cross multiply
    347,027x = 472,764 × 472,764
  4. Step 4: Simplify right side
    347,027x = 223,505,799,696
  5. Step 5: Solve for x
    x = 223,505,799,696/347,027
  6. Step 6: Final answer
    x = 644,058.82

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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.