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Finding the Third Proportional to 347,034 and 472,776

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Solution

The third proportional to 347,034 and 472,776 is: 644,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,034 : 472,776 = 472,776 : x
  2. Step 2: Convert to fraction form
    347,034/472,776 = 472,776/x
  3. Step 3: Cross multiply
    347,034x = 472,776 × 472,776
  4. Step 4: Simplify right side
    347,034x = 223,517,146,176
  5. Step 5: Solve for x
    x = 223,517,146,176/347,034
  6. Step 6: Final answer
    x = 644,078.52

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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.