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Finding the Third Proportional to 267,531.50 and 557,206.50

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Solution

The third proportional to 267,531.50 and 557,206.50 is: 1,160,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,531.50 : 557,206.50 = 557,206.50 : x
  2. Step 2: Convert to fraction form
    267,531.50/557,206.50 = 557,206.50/x
  3. Step 3: Cross multiply
    267,531.50x = 557,206.50 × 557,206.50
  4. Step 4: Simplify right side
    267,531.50x = 310,479,083,642.25
  5. Step 5: Solve for x
    x = 310,479,083,642.25/267,531.50
  6. Step 6: Final answer
    x = 1,160,532.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.