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Finding the Third Proportional to 267,920.75 and 577,906.88

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Solution

The third proportional to 267,920.75 and 577,906.88 is: 1,246,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,920.75 : 577,906.88 = 577,906.88 : x
  2. Step 2: Convert to fraction form
    267,920.75/577,906.88 = 577,906.88/x
  3. Step 3: Cross multiply
    267,920.75x = 577,906.88 × 577,906.88
  4. Step 4: Simplify right side
    267,920.75x = 333,976,356,172.27
  5. Step 5: Solve for x
    x = 333,976,356,172.27/267,920.75
  6. Step 6: Final answer
    x = 1,246,549.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.