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Finding the Third Proportional to 351,979.88 and 527,981.63

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Solution

The third proportional to 351,979.88 and 527,981.63 is: 791,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,979.88 : 527,981.63 = 527,981.63 : x
  2. Step 2: Convert to fraction form
    351,979.88/527,981.63 = 527,981.63/x
  3. Step 3: Cross multiply
    351,979.88x = 527,981.63 × 527,981.63
  4. Step 4: Simplify right side
    351,979.88x = 278,764,596,337.64
  5. Step 5: Solve for x
    x = 278,764,596,337.64/351,979.88
  6. Step 6: Final answer
    x = 791,990.16

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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.