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Finding the Third Proportional to 362,141,376 and 574,378,704

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Solution

The third proportional to 362,141,376 and 574,378,704 is: 911,000,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,141,376 : 574,378,704 = 574,378,704 : x
  2. Step 2: Convert to fraction form
    362,141,376/574,378,704 = 574,378,704/x
  3. Step 3: Cross multiply
    362,141,376x = 574,378,704 × 574,378,704
  4. Step 4: Simplify right side
    362,141,376x = 329,910,895,608,719,616
  5. Step 5: Solve for x
    x = 329,910,895,608,719,616/362,141,376
  6. Step 6: Final answer
    x = 911,000,281.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.