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Finding the Third Proportional to 520.66 and 805.88

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Solution

The third proportional to 520.66 and 805.88 is: 1,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.66 : 805.88 = 805.88 : x
  2. Step 2: Convert to fraction form
    520.66/805.88 = 805.88/x
  3. Step 3: Cross multiply
    520.66x = 805.88 × 805.88
  4. Step 4: Simplify right side
    520.66x = 649,434.52
  5. Step 5: Solve for x
    x = 649,434.52/520.66
  6. Step 6: Final answer
    x = 1,247.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.