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Finding the Third Proportional to 238,929.75 and 521,326.13

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Solution

The third proportional to 238,929.75 and 521,326.13 is: 1,137,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,929.75 : 521,326.13 = 521,326.13 : x
  2. Step 2: Convert to fraction form
    238,929.75/521,326.13 = 521,326.13/x
  3. Step 3: Cross multiply
    238,929.75x = 521,326.13 × 521,326.13
  4. Step 4: Simplify right side
    238,929.75x = 271,780,928,607.52
  5. Step 5: Solve for x
    x = 271,780,928,607.52/238,929.75
  6. Step 6: Final answer
    x = 1,137,493.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.