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Finding the Third Proportional to 304,424 and 482,019

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Solution

The third proportional to 304,424 and 482,019 is: 763,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,424 : 482,019 = 482,019 : x
  2. Step 2: Convert to fraction form
    304,424/482,019 = 482,019/x
  3. Step 3: Cross multiply
    304,424x = 482,019 × 482,019
  4. Step 4: Simplify right side
    304,424x = 232,342,316,361
  5. Step 5: Solve for x
    x = 232,342,316,361/304,424
  6. Step 6: Final answer
    x = 763,219.45

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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.