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Finding the Third Proportional to 590.41 and 829.62

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Solution

The third proportional to 590.41 and 829.62 is: 1,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.41 : 829.62 = 829.62 : x
  2. Step 2: Convert to fraction form
    590.41/829.62 = 829.62/x
  3. Step 3: Cross multiply
    590.41x = 829.62 × 829.62
  4. Step 4: Simplify right side
    590.41x = 688,264.68
  5. Step 5: Solve for x
    x = 688,264.68/590.41
  6. Step 6: Final answer
    x = 1,165.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.