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Finding the Third Proportional to 296,080 and 442,872

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Solution

The third proportional to 296,080 and 442,872 is: 662,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,080 : 442,872 = 442,872 : x
  2. Step 2: Convert to fraction form
    296,080/442,872 = 442,872/x
  3. Step 3: Cross multiply
    296,080x = 442,872 × 442,872
  4. Step 4: Simplify right side
    296,080x = 196,135,608,384
  5. Step 5: Solve for x
    x = 196,135,608,384/296,080
  6. Step 6: Final answer
    x = 662,441.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.