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Finding the Third Proportional to 292,211.30 and 437,140.97

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Solution

The third proportional to 292,211.30 and 437,140.97 is: 653,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,211.30 : 437,140.97 = 437,140.97 : x
  2. Step 2: Convert to fraction form
    292,211.30/437,140.97 = 437,140.97/x
  3. Step 3: Cross multiply
    292,211.30x = 437,140.97 × 437,140.97
  4. Step 4: Simplify right side
    292,211.30x = 191,092,226,559.69
  5. Step 5: Solve for x
    x = 191,092,226,559.69/292,211.30
  6. Step 6: Final answer
    x = 653,952.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.