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Finding the Third Proportional to 442,147.50 and 947,331

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Solution

The third proportional to 442,147.50 and 947,331 is: 2,029,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,147.50 : 947,331 = 947,331 : x
  2. Step 2: Convert to fraction form
    442,147.50/947,331 = 947,331/x
  3. Step 3: Cross multiply
    442,147.50x = 947,331 × 947,331
  4. Step 4: Simplify right side
    442,147.50x = 897,436,023,561
  5. Step 5: Solve for x
    x = 897,436,023,561/442,147.50
  6. Step 6: Final answer
    x = 2,029,720.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.