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Finding the Third Proportional to 267,643.50 and 391,414.50

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Solution

The third proportional to 267,643.50 and 391,414.50 is: 572,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,643.50 : 391,414.50 = 391,414.50 : x
  2. Step 2: Convert to fraction form
    267,643.50/391,414.50 = 391,414.50/x
  3. Step 3: Cross multiply
    267,643.50x = 391,414.50 × 391,414.50
  4. Step 4: Simplify right side
    267,643.50x = 153,205,310,810.25
  5. Step 5: Solve for x
    x = 153,205,310,810.25/267,643.50
  6. Step 6: Final answer
    x = 572,423.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.