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Finding the Third Proportional to 381,381 and 517,957.50

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Solution

The third proportional to 381,381 and 517,957.50 is: 703,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,381 : 517,957.50 = 517,957.50 : x
  2. Step 2: Convert to fraction form
    381,381/517,957.50 = 517,957.50/x
  3. Step 3: Cross multiply
    381,381x = 517,957.50 × 517,957.50
  4. Step 4: Simplify right side
    381,381x = 268,279,971,806.25
  5. Step 5: Solve for x
    x = 268,279,971,806.25/381,381
  6. Step 6: Final answer
    x = 703,443.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.