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Finding the Third Proportional to 552,517.88 and 830,827.13

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Solution

The third proportional to 552,517.88 and 830,827.13 is: 1,249,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,517.88 : 830,827.13 = 830,827.13 : x
  2. Step 2: Convert to fraction form
    552,517.88/830,827.13 = 830,827.13/x
  3. Step 3: Cross multiply
    552,517.88x = 830,827.13 × 830,827.13
  4. Step 4: Simplify right side
    552,517.88x = 690,273,711,635.77
  5. Step 5: Solve for x
    x = 690,273,711,635.77/552,517.88
  6. Step 6: Final answer
    x = 1,249,323.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.