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Finding the Third Proportional to 304,304 and 473,677

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Solution

The third proportional to 304,304 and 473,677 is: 737,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,304 : 473,677 = 473,677 : x
  2. Step 2: Convert to fraction form
    304,304/473,677 = 473,677/x
  3. Step 3: Cross multiply
    304,304x = 473,677 × 473,677
  4. Step 4: Simplify right side
    304,304x = 224,369,900,329
  5. Step 5: Solve for x
    x = 224,369,900,329/304,304
  6. Step 6: Final answer
    x = 737,321.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.