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Finding the Third Proportional to 461.95 and 1,034.96

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Solution

The third proportional to 461.95 and 1,034.96 is: 2,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.95 : 1,034.96 = 1,034.96 : x
  2. Step 2: Convert to fraction form
    461.95/1,034.96 = 1,034.96/x
  3. Step 3: Cross multiply
    461.95x = 1,034.96 × 1,034.96
  4. Step 4: Simplify right side
    461.95x = 1,071,152.23
  5. Step 5: Solve for x
    x = 1,071,152.23/461.95
  6. Step 6: Final answer
    x = 2,318.75

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.