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Finding the Third Proportional to 304,474 and 432,757

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Solution

The third proportional to 304,474 and 432,757 is: 615,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,474 : 432,757 = 432,757 : x
  2. Step 2: Convert to fraction form
    304,474/432,757 = 432,757/x
  3. Step 3: Cross multiply
    304,474x = 432,757 × 432,757
  4. Step 4: Simplify right side
    304,474x = 187,278,621,049
  5. Step 5: Solve for x
    x = 187,278,621,049/304,474
  6. Step 6: Final answer
    x = 615,089.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.