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Finding the Third Proportional to 438 and 1,013

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Solution

The third proportional to 438 and 1,013 is: 2,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 1,013 = 1,013 : x
  2. Step 2: Convert to fraction form
    438/1,013 = 1,013/x
  3. Step 3: Cross multiply
    438x = 1,013 × 1,013
  4. Step 4: Simplify right side
    438x = 1,026,169
  5. Step 5: Solve for x
    x = 1,026,169/438
  6. Step 6: Final answer
    x = 2,342.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.