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Finding the Third Proportional to 582.19 and 829.97

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Solution

The third proportional to 582.19 and 829.97 is: 1,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 829.97 = 829.97 : x
  2. Step 2: Convert to fraction form
    582.19/829.97 = 829.97/x
  3. Step 3: Cross multiply
    582.19x = 829.97 × 829.97
  4. Step 4: Simplify right side
    582.19x = 688,848.13
  5. Step 5: Solve for x
    x = 688,848.13/582.19
  6. Step 6: Final answer
    x = 1,183.21

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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.