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Finding the Third Proportional to 590.25 and 885.75

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Solution

The third proportional to 590.25 and 885.75 is: 1,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.25 : 885.75 = 885.75 : x
  2. Step 2: Convert to fraction form
    590.25/885.75 = 885.75/x
  3. Step 3: Cross multiply
    590.25x = 885.75 × 885.75
  4. Step 4: Simplify right side
    590.25x = 784,553.06
  5. Step 5: Solve for x
    x = 784,553.06/590.25
  6. Step 6: Final answer
    x = 1,329.19

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