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Finding the Third Proportional to 275,759 and 442,433

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Solution

The third proportional to 275,759 and 442,433 is: 709,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,759 : 442,433 = 442,433 : x
  2. Step 2: Convert to fraction form
    275,759/442,433 = 442,433/x
  3. Step 3: Cross multiply
    275,759x = 442,433 × 442,433
  4. Step 4: Simplify right side
    275,759x = 195,746,959,489
  5. Step 5: Solve for x
    x = 195,746,959,489/275,759
  6. Step 6: Final answer
    x = 709,847.95

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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.