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Finding the Third Proportional to 281,432 and 574,326

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Solution

The third proportional to 281,432 and 574,326 is: 1,172,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,432 : 574,326 = 574,326 : x
  2. Step 2: Convert to fraction form
    281,432/574,326 = 574,326/x
  3. Step 3: Cross multiply
    281,432x = 574,326 × 574,326
  4. Step 4: Simplify right side
    281,432x = 329,850,354,276
  5. Step 5: Solve for x
    x = 329,850,354,276/281,432
  6. Step 6: Final answer
    x = 1,172,042.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.