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Finding the Third Proportional to 576.65 and 826.53

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Solution

The third proportional to 576.65 and 826.53 is: 1,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 826.53 = 826.53 : x
  2. Step 2: Convert to fraction form
    576.65/826.53 = 826.53/x
  3. Step 3: Cross multiply
    576.65x = 826.53 × 826.53
  4. Step 4: Simplify right side
    576.65x = 683,155.52
  5. Step 5: Solve for x
    x = 683,155.52/576.65
  6. Step 6: Final answer
    x = 1,184.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.