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Finding the Third Proportional to 385,527,822 and 587,331,156

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Solution

The third proportional to 385,527,822 and 587,331,156 is: 894,767,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527,822 : 587,331,156 = 587,331,156 : x
  2. Step 2: Convert to fraction form
    385,527,822/587,331,156 = 587,331,156/x
  3. Step 3: Cross multiply
    385,527,822x = 587,331,156 × 587,331,156
  4. Step 4: Simplify right side
    385,527,822x = 344,957,886,808,296,320
  5. Step 5: Solve for x
    x = 344,957,886,808,296,320/385,527,822
  6. Step 6: Final answer
    x = 894,767,814.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.