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Finding the Third Proportional to 250,691 and 547,114

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Solution

The third proportional to 250,691 and 547,114 is: 1,194,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,691 : 547,114 = 547,114 : x
  2. Step 2: Convert to fraction form
    250,691/547,114 = 547,114/x
  3. Step 3: Cross multiply
    250,691x = 547,114 × 547,114
  4. Step 4: Simplify right side
    250,691x = 299,333,728,996
  5. Step 5: Solve for x
    x = 299,333,728,996/250,691
  6. Step 6: Final answer
    x = 1,194,034.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.