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Finding the Third Proportional to 304,434 and 482,034

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Solution

The third proportional to 304,434 and 482,034 is: 763,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,434 : 482,034 = 482,034 : x
  2. Step 2: Convert to fraction form
    304,434/482,034 = 482,034/x
  3. Step 3: Cross multiply
    304,434x = 482,034 × 482,034
  4. Step 4: Simplify right side
    304,434x = 232,356,777,156
  5. Step 5: Solve for x
    x = 232,356,777,156/304,434
  6. Step 6: Final answer
    x = 763,241.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.