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Finding the Third Proportional to 742.92 and 1,058.06

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Solution

The third proportional to 742.92 and 1,058.06 is: 1,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,058.06 = 1,058.06 : x
  2. Step 2: Convert to fraction form
    742.92/1,058.06 = 1,058.06/x
  3. Step 3: Cross multiply
    742.92x = 1,058.06 × 1,058.06
  4. Step 4: Simplify right side
    742.92x = 1,119,496.25
  5. Step 5: Solve for x
    x = 1,119,496.25/742.92
  6. Step 6: Final answer
    x = 1,506.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.