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Finding the Third Proportional to 385,527,992 and 587,331,373

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Solution

The third proportional to 385,527,992 and 587,331,373 is: 894,768,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527,992 : 587,331,373 = 587,331,373 : x
  2. Step 2: Convert to fraction form
    385,527,992/587,331,373 = 587,331,373/x
  3. Step 3: Cross multiply
    385,527,992x = 587,331,373 × 587,331,373
  4. Step 4: Simplify right side
    385,527,992x = 344,958,141,710,065,152
  5. Step 5: Solve for x
    x = 344,958,141,710,065,152/385,527,992
  6. Step 6: Final answer
    x = 894,768,081.35

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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.