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Finding the Third Proportional to 364,023,520 and 515,082,048

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Solution

The third proportional to 364,023,520 and 515,082,048 is: 728,825,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,023,520 : 515,082,048 = 515,082,048 : x
  2. Step 2: Convert to fraction form
    364,023,520/515,082,048 = 515,082,048/x
  3. Step 3: Cross multiply
    364,023,520x = 515,082,048 × 515,082,048
  4. Step 4: Simplify right side
    364,023,520x = 265,309,516,171,874,304
  5. Step 5: Solve for x
    x = 265,309,516,171,874,304/364,023,520
  6. Step 6: Final answer
    x = 728,825,203.85

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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.