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Finding the Third Proportional to 279,577,338.75 and 437,618,710.13

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Solution

The third proportional to 279,577,338.75 and 437,618,710.13 is: 684,998,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,577,338.75 : 437,618,710.13 = 437,618,710.13 : x
  2. Step 2: Convert to fraction form
    279,577,338.75/437,618,710.13 = 437,618,710.13/x
  3. Step 3: Cross multiply
    279,577,338.75x = 437,618,710.13 × 437,618,710.13
  4. Step 4: Simplify right side
    279,577,338.75x = 191,510,135,451,468,768
  5. Step 5: Solve for x
    x = 191,510,135,451,468,768/279,577,338.75
  6. Step 6: Final answer
    x = 684,998,778.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.