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Finding the Third Proportional to 385,527,983 and 587,331,361

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Solution

The third proportional to 385,527,983 and 587,331,361 is: 894,768,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527,983 : 587,331,361 = 587,331,361 : x
  2. Step 2: Convert to fraction form
    385,527,983/587,331,361 = 587,331,361/x
  3. Step 3: Cross multiply
    385,527,983x = 587,331,361 × 587,331,361
  4. Step 4: Simplify right side
    385,527,983x = 344,958,127,614,112,320
  5. Step 5: Solve for x
    x = 344,958,127,614,112,320/385,527,983
  6. Step 6: Final answer
    x = 894,768,065.68

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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.