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Finding the Third Proportional to 591.19 and 883.69

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Solution

The third proportional to 591.19 and 883.69 is: 1,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.19 : 883.69 = 883.69 : x
  2. Step 2: Convert to fraction form
    591.19/883.69 = 883.69/x
  3. Step 3: Cross multiply
    591.19x = 883.69 × 883.69
  4. Step 4: Simplify right side
    591.19x = 780,903.60
  5. Step 5: Solve for x
    x = 780,903.60/591.19
  6. Step 6: Final answer
    x = 1,320.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.