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Finding the Third Proportional to 304,704 and 476,496

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Solution

The third proportional to 304,704 and 476,496 is: 745,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,704 : 476,496 = 476,496 : x
  2. Step 2: Convert to fraction form
    304,704/476,496 = 476,496/x
  3. Step 3: Cross multiply
    304,704x = 476,496 × 476,496
  4. Step 4: Simplify right side
    304,704x = 227,048,438,016
  5. Step 5: Solve for x
    x = 227,048,438,016/304,704
  6. Step 6: Final answer
    x = 745,144.26

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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.