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Finding the Third Proportional to 304,464 and 468,552

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Solution

The third proportional to 304,464 and 468,552 is: 721,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,464 : 468,552 = 468,552 : x
  2. Step 2: Convert to fraction form
    304,464/468,552 = 468,552/x
  3. Step 3: Cross multiply
    304,464x = 468,552 × 468,552
  4. Step 4: Simplify right side
    304,464x = 219,540,976,704
  5. Step 5: Solve for x
    x = 219,540,976,704/304,464
  6. Step 6: Final answer
    x = 721,073.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.