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Finding the Third Proportional to 582.19 and 838.97

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Solution

The third proportional to 582.19 and 838.97 is: 1,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 838.97 = 838.97 : x
  2. Step 2: Convert to fraction form
    582.19/838.97 = 838.97/x
  3. Step 3: Cross multiply
    582.19x = 838.97 × 838.97
  4. Step 4: Simplify right side
    582.19x = 703,868.56
  5. Step 5: Solve for x
    x = 703,868.56/582.19
  6. Step 6: Final answer
    x = 1,209.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.