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Finding the Third Proportional to 257,568.75 and 566,523

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Solution

The third proportional to 257,568.75 and 566,523 is: 1,246,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,568.75 : 566,523 = 566,523 : x
  2. Step 2: Convert to fraction form
    257,568.75/566,523 = 566,523/x
  3. Step 3: Cross multiply
    257,568.75x = 566,523 × 566,523
  4. Step 4: Simplify right side
    257,568.75x = 320,948,309,529
  5. Step 5: Solve for x
    x = 320,948,309,529/257,568.75
  6. Step 6: Final answer
    x = 1,246,068.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.