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Finding the Third Proportional to 576.65 and 762.46

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Solution

The third proportional to 576.65 and 762.46 is: 1,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 762.46 = 762.46 : x
  2. Step 2: Convert to fraction form
    576.65/762.46 = 762.46/x
  3. Step 3: Cross multiply
    576.65x = 762.46 × 762.46
  4. Step 4: Simplify right side
    576.65x = 581,345.19
  5. Step 5: Solve for x
    x = 581,345.19/576.65
  6. Step 6: Final answer
    x = 1,008.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.