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Finding the Third Proportional to 461.81 and 1,026.14

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Solution

The third proportional to 461.81 and 1,026.14 is: 2,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.81 : 1,026.14 = 1,026.14 : x
  2. Step 2: Convert to fraction form
    461.81/1,026.14 = 1,026.14/x
  3. Step 3: Cross multiply
    461.81x = 1,026.14 × 1,026.14
  4. Step 4: Simplify right side
    461.81x = 1,052,964.58
  5. Step 5: Solve for x
    x = 1,052,964.58/461.81
  6. Step 6: Final answer
    x = 2,280.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.