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Finding the Third Proportional to 347,044.50 and 472,779

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Solution

The third proportional to 347,044.50 and 472,779 is: 644,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,044.50 : 472,779 = 472,779 : x
  2. Step 2: Convert to fraction form
    347,044.50/472,779 = 472,779/x
  3. Step 3: Cross multiply
    347,044.50x = 472,779 × 472,779
  4. Step 4: Simplify right side
    347,044.50x = 223,519,982,841
  5. Step 5: Solve for x
    x = 223,519,982,841/347,044.50
  6. Step 6: Final answer
    x = 644,067.21

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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.