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Finding the Third Proportional to 458.81 and 1,003.13

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Solution

The third proportional to 458.81 and 1,003.13 is: 2,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.81 : 1,003.13 = 1,003.13 : x
  2. Step 2: Convert to fraction form
    458.81/1,003.13 = 1,003.13/x
  3. Step 3: Cross multiply
    458.81x = 1,003.13 × 1,003.13
  4. Step 4: Simplify right side
    458.81x = 1,006,259.77
  5. Step 5: Solve for x
    x = 1,006,259.77/458.81
  6. Step 6: Final answer
    x = 2,193.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.