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Finding the Third Proportional to 652.96 and 1,011.76

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Solution

The third proportional to 652.96 and 1,011.76 is: 1,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.96 : 1,011.76 = 1,011.76 : x
  2. Step 2: Convert to fraction form
    652.96/1,011.76 = 1,011.76/x
  3. Step 3: Cross multiply
    652.96x = 1,011.76 × 1,011.76
  4. Step 4: Simplify right side
    652.96x = 1,023,661.78
  5. Step 5: Solve for x
    x = 1,023,661.78/652.96
  6. Step 6: Final answer
    x = 1,567.73

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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.