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Finding the Third Proportional to 385,527,942 and 587,331,320

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Solution

The third proportional to 385,527,942 and 587,331,320 is: 894,768,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527,942 : 587,331,320 = 587,331,320 : x
  2. Step 2: Convert to fraction form
    385,527,942/587,331,320 = 587,331,320/x
  3. Step 3: Cross multiply
    385,527,942x = 587,331,320 × 587,331,320
  4. Step 4: Simplify right side
    385,527,942x = 344,958,079,452,942,400
  5. Step 5: Solve for x
    x = 344,958,079,452,942,400/385,527,942
  6. Step 6: Final answer
    x = 894,768,035.91

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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.