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Finding the Third Proportional to 463.78 and 1,013.06

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Solution

The third proportional to 463.78 and 1,013.06 is: 2,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.78 : 1,013.06 = 1,013.06 : x
  2. Step 2: Convert to fraction form
    463.78/1,013.06 = 1,013.06/x
  3. Step 3: Cross multiply
    463.78x = 1,013.06 × 1,013.06
  4. Step 4: Simplify right side
    463.78x = 1,026,295.63
  5. Step 5: Solve for x
    x = 1,026,295.63/463.78
  6. Step 6: Final answer
    x = 2,212.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.