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Finding the Third Proportional to 304,658.82 and 471,498.19

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Solution

The third proportional to 304,658.82 and 471,498.19 is: 729,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,658.82 : 471,498.19 = 471,498.19 : x
  2. Step 2: Convert to fraction form
    304,658.82/471,498.19 = 471,498.19/x
  3. Step 3: Cross multiply
    304,658.82x = 471,498.19 × 471,498.19
  4. Step 4: Simplify right side
    304,658.82x = 222,310,544,959.80
  5. Step 5: Solve for x
    x = 222,310,544,959.80/304,658.82
  6. Step 6: Final answer
    x = 729,703.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.