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Finding the Third Proportional to 582.25 and 873.38

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Solution

The third proportional to 582.25 and 873.38 is: 1,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.25 : 873.38 = 873.38 : x
  2. Step 2: Convert to fraction form
    582.25/873.38 = 873.38/x
  3. Step 3: Cross multiply
    582.25x = 873.38 × 873.38
  4. Step 4: Simplify right side
    582.25x = 762,783.89
  5. Step 5: Solve for x
    x = 762,783.89/582.25
  6. Step 6: Final answer
    x = 1,310.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.