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Finding the Third Proportional to 267,914.25 and 572,659.88

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Solution

The third proportional to 267,914.25 and 572,659.88 is: 1,224,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,914.25 : 572,659.88 = 572,659.88 : x
  2. Step 2: Convert to fraction form
    267,914.25/572,659.88 = 572,659.88/x
  3. Step 3: Cross multiply
    267,914.25x = 572,659.88 × 572,659.88
  4. Step 4: Simplify right side
    267,914.25x = 327,939,332,435.02
  5. Step 5: Solve for x
    x = 327,939,332,435.02/267,914.25
  6. Step 6: Final answer
    x = 1,224,045.87

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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.