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Finding the Third Proportional to 278,922 and 574,350

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Solution

The third proportional to 278,922 and 574,350 is: 1,182,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,922 : 574,350 = 574,350 : x
  2. Step 2: Convert to fraction form
    278,922/574,350 = 574,350/x
  3. Step 3: Cross multiply
    278,922x = 574,350 × 574,350
  4. Step 4: Simplify right side
    278,922x = 329,877,922,500
  5. Step 5: Solve for x
    x = 329,877,922,500/278,922
  6. Step 6: Final answer
    x = 1,182,688.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.