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Finding the Third Proportional to 332.81 and 652.69

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Solution

The third proportional to 332.81 and 652.69 is: 1,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.81 : 652.69 = 652.69 : x
  2. Step 2: Convert to fraction form
    332.81/652.69 = 652.69/x
  3. Step 3: Cross multiply
    332.81x = 652.69 × 652.69
  4. Step 4: Simplify right side
    332.81x = 426,000.97
  5. Step 5: Solve for x
    x = 426,000.97/332.81
  6. Step 6: Final answer
    x = 1,280.00

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.