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Finding the Third Proportional to 565.52 and 795.76

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Solution

The third proportional to 565.52 and 795.76 is: 1,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 795.76 = 795.76 : x
  2. Step 2: Convert to fraction form
    565.52/795.76 = 795.76/x
  3. Step 3: Cross multiply
    565.52x = 795.76 × 795.76
  4. Step 4: Simplify right side
    565.52x = 633,236.71
  5. Step 5: Solve for x
    x = 633,236.71/565.52
  6. Step 6: Final answer
    x = 1,119.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.