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Finding the Third Proportional to 267,715.13 and 561,694.50

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Solution

The third proportional to 267,715.13 and 561,694.50 is: 1,178,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,715.13 : 561,694.50 = 561,694.50 : x
  2. Step 2: Convert to fraction form
    267,715.13/561,694.50 = 561,694.50/x
  3. Step 3: Cross multiply
    267,715.13x = 561,694.50 × 561,694.50
  4. Step 4: Simplify right side
    267,715.13x = 315,500,711,330.25
  5. Step 5: Solve for x
    x = 315,500,711,330.25/267,715.13
  6. Step 6: Final answer
    x = 1,178,494.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.