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Finding the Third Proportional to 582.25 and 1,243.25

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Solution

The third proportional to 582.25 and 1,243.25 is: 2,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.25 : 1,243.25 = 1,243.25 : x
  2. Step 2: Convert to fraction form
    582.25/1,243.25 = 1,243.25/x
  3. Step 3: Cross multiply
    582.25x = 1,243.25 × 1,243.25
  4. Step 4: Simplify right side
    582.25x = 1,545,670.56
  5. Step 5: Solve for x
    x = 1,545,670.56/582.25
  6. Step 6: Final answer
    x = 2,654.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.