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Finding the Third Proportional to 442,848 and 664,156.13

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Solution

The third proportional to 442,848 and 664,156.13 is: 996,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,848 : 664,156.13 = 664,156.13 : x
  2. Step 2: Convert to fraction form
    442,848/664,156.13 = 664,156.13/x
  3. Step 3: Cross multiply
    442,848x = 664,156.13 × 664,156.13
  4. Step 4: Simplify right side
    442,848x = 441,103,358,375.02
  5. Step 5: Solve for x
    x = 441,103,358,375.02/442,848
  6. Step 6: Final answer
    x = 996,060.41

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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.