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Finding the Third Proportional to 590.81 and 948.19

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Solution

The third proportional to 590.81 and 948.19 is: 1,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.81 : 948.19 = 948.19 : x
  2. Step 2: Convert to fraction form
    590.81/948.19 = 948.19/x
  3. Step 3: Cross multiply
    590.81x = 948.19 × 948.19
  4. Step 4: Simplify right side
    590.81x = 899,059.54
  5. Step 5: Solve for x
    x = 899,059.54/590.81
  6. Step 6: Final answer
    x = 1,521.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.