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Finding the Third Proportional to 257,694 and 553,494

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Solution

The third proportional to 257,694 and 553,494 is: 1,188,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,694 : 553,494 = 553,494 : x
  2. Step 2: Convert to fraction form
    257,694/553,494 = 553,494/x
  3. Step 3: Cross multiply
    257,694x = 553,494 × 553,494
  4. Step 4: Simplify right side
    257,694x = 306,355,608,036
  5. Step 5: Solve for x
    x = 306,355,608,036/257,694
  6. Step 6: Final answer
    x = 1,188,834.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.