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Finding the Third Proportional to 281,376 and 573,172

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Solution

The third proportional to 281,376 and 573,172 is: 1,167,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,376 : 573,172 = 573,172 : x
  2. Step 2: Convert to fraction form
    281,376/573,172 = 573,172/x
  3. Step 3: Cross multiply
    281,376x = 573,172 × 573,172
  4. Step 4: Simplify right side
    281,376x = 328,526,141,584
  5. Step 5: Solve for x
    x = 328,526,141,584/281,376
  6. Step 6: Final answer
    x = 1,167,569.88

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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.