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Finding the Third Proportional to 582 and 790.88

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Solution

The third proportional to 582 and 790.88 is: 1,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 790.88 = 790.88 : x
  2. Step 2: Convert to fraction form
    582/790.88 = 790.88/x
  3. Step 3: Cross multiply
    582x = 790.88 × 790.88
  4. Step 4: Simplify right side
    582x = 625,483.27
  5. Step 5: Solve for x
    x = 625,483.27/582
  6. Step 6: Final answer
    x = 1,074.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.