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Finding the Third Proportional to 285,172,366.50 and 600,985,635.75

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Solution

The third proportional to 285,172,366.50 and 600,985,635.75 is: 1,266,545,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,172,366.50 : 600,985,635.75 = 600,985,635.75 : x
  2. Step 2: Convert to fraction form
    285,172,366.50/600,985,635.75 = 600,985,635.75/x
  3. Step 3: Cross multiply
    285,172,366.50x = 600,985,635.75 × 600,985,635.75
  4. Step 4: Simplify right side
    285,172,366.50x = 361,183,734,377,831,680
  5. Step 5: Solve for x
    x = 361,183,734,377,831,680/285,172,366.50
  6. Step 6: Final answer
    x = 1,266,545,348.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.