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Finding the Third Proportional to 408,393,468 and 617,452,713

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Solution

The third proportional to 408,393,468 and 617,452,713 is: 933,530,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,393,468 : 617,452,713 = 617,452,713 : x
  2. Step 2: Convert to fraction form
    408,393,468/617,452,713 = 617,452,713/x
  3. Step 3: Cross multiply
    408,393,468x = 617,452,713 × 617,452,713
  4. Step 4: Simplify right side
    408,393,468x = 381,247,852,791,060,352
  5. Step 5: Solve for x
    x = 381,247,852,791,060,352/408,393,468
  6. Step 6: Final answer
    x = 933,530,731.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.