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Finding the Third Proportional to 275,724 and 442,380

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Solution

The third proportional to 275,724 and 442,380 is: 709,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,724 : 442,380 = 442,380 : x
  2. Step 2: Convert to fraction form
    275,724/442,380 = 442,380/x
  3. Step 3: Cross multiply
    275,724x = 442,380 × 442,380
  4. Step 4: Simplify right side
    275,724x = 195,700,064,400
  5. Step 5: Solve for x
    x = 195,700,064,400/275,724
  6. Step 6: Final answer
    x = 709,767.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.