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Finding the Third Proportional to 304,727,879.25 and 464,221,438.88

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Solution

The third proportional to 304,727,879.25 and 464,221,438.88 is: 707,193,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,727,879.25 : 464,221,438.88 = 464,221,438.88 : x
  2. Step 2: Convert to fraction form
    304,727,879.25/464,221,438.88 = 464,221,438.88/x
  3. Step 3: Cross multiply
    304,727,879.25x = 464,221,438.88 × 464,221,438.88
  4. Step 4: Simplify right side
    304,727,879.25x = 215,501,544,311,175,360
  5. Step 5: Solve for x
    x = 215,501,544,311,175,360/304,727,879.25
  6. Step 6: Final answer
    x = 707,193,397.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.