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Finding the Third Proportional to 360,752,419 and 557,695,188

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Solution

The third proportional to 360,752,419 and 557,695,188 is: 862,153,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,752,419 : 557,695,188 = 557,695,188 : x
  2. Step 2: Convert to fraction form
    360,752,419/557,695,188 = 557,695,188/x
  3. Step 3: Cross multiply
    360,752,419x = 557,695,188 × 557,695,188
  4. Step 4: Simplify right side
    360,752,419x = 311,023,922,718,355,328
  5. Step 5: Solve for x
    x = 311,023,922,718,355,328/360,752,419
  6. Step 6: Final answer
    x = 862,153,394.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.