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Finding the Third Proportional to 461.94 and 1,026.53

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Solution

The third proportional to 461.94 and 1,026.53 is: 2,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.94 : 1,026.53 = 1,026.53 : x
  2. Step 2: Convert to fraction form
    461.94/1,026.53 = 1,026.53/x
  3. Step 3: Cross multiply
    461.94x = 1,026.53 × 1,026.53
  4. Step 4: Simplify right side
    461.94x = 1,053,766.41
  5. Step 5: Solve for x
    x = 1,053,766.41/461.94
  6. Step 6: Final answer
    x = 2,281.19

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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.