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Finding the Third Proportional to 511.88 and 592.88

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Solution

The third proportional to 511.88 and 592.88 is: 686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.88 : 592.88 = 592.88 : x
  2. Step 2: Convert to fraction form
    511.88/592.88 = 592.88/x
  3. Step 3: Cross multiply
    511.88x = 592.88 × 592.88
  4. Step 4: Simplify right side
    511.88x = 351,500.77
  5. Step 5: Solve for x
    x = 351,500.77/511.88
  6. Step 6: Final answer
    x = 686.69

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.