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Finding the Third Proportional to 385,527,982 and 587,331,360

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Solution

The third proportional to 385,527,982 and 587,331,360 is: 894,768,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527,982 : 587,331,360 = 587,331,360 : x
  2. Step 2: Convert to fraction form
    385,527,982/587,331,360 = 587,331,360/x
  3. Step 3: Cross multiply
    385,527,982x = 587,331,360 × 587,331,360
  4. Step 4: Simplify right side
    385,527,982x = 344,958,126,439,449,600
  5. Step 5: Solve for x
    x = 344,958,126,439,449,600/385,527,982
  6. Step 6: Final answer
    x = 894,768,064.95

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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.