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Finding the Third Proportional to 364,023,585 and 515,082,217.50

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Solution

The third proportional to 364,023,585 and 515,082,217.50 is: 728,825,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,023,585 : 515,082,217.50 = 515,082,217.50 : x
  2. Step 2: Convert to fraction form
    364,023,585/515,082,217.50 = 515,082,217.50/x
  3. Step 3: Cross multiply
    364,023,585x = 515,082,217.50 × 515,082,217.50
  4. Step 4: Simplify right side
    364,023,585x = 265,309,690,784,717,312
  5. Step 5: Solve for x
    x = 265,309,690,784,717,312/364,023,585
  6. Step 6: Final answer
    x = 728,825,553.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.