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Finding the Third Proportional to 234,987.75 and 482,419.13

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Solution

The third proportional to 234,987.75 and 482,419.13 is: 990,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,987.75 : 482,419.13 = 482,419.13 : x
  2. Step 2: Convert to fraction form
    234,987.75/482,419.13 = 482,419.13/x
  3. Step 3: Cross multiply
    234,987.75x = 482,419.13 × 482,419.13
  4. Step 4: Simplify right side
    234,987.75x = 232,728,212,165.77
  5. Step 5: Solve for x
    x = 232,728,212,165.77/234,987.75
  6. Step 6: Final answer
    x = 990,384.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.