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Finding the Third Proportional to 257,964.75 and 527,411.25

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Solution

The third proportional to 257,964.75 and 527,411.25 is: 1,078,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,964.75 : 527,411.25 = 527,411.25 : x
  2. Step 2: Convert to fraction form
    257,964.75/527,411.25 = 527,411.25/x
  3. Step 3: Cross multiply
    257,964.75x = 527,411.25 × 527,411.25
  4. Step 4: Simplify right side
    257,964.75x = 278,162,626,626.56
  5. Step 5: Solve for x
    x = 278,162,626,626.56/257,964.75
  6. Step 6: Final answer
    x = 1,078,297.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.