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Finding the Third Proportional to 511.88 and 595.69

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Solution

The third proportional to 511.88 and 595.69 is: 693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.88 : 595.69 = 595.69 : x
  2. Step 2: Convert to fraction form
    511.88/595.69 = 595.69/x
  3. Step 3: Cross multiply
    511.88x = 595.69 × 595.69
  4. Step 4: Simplify right side
    511.88x = 354,843.60
  5. Step 5: Solve for x
    x = 354,843.60/511.88
  6. Step 6: Final answer
    x = 693.22

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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.