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Finding the Third Proportional to 723.56 and 1,058.34

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Solution

The third proportional to 723.56 and 1,058.34 is: 1,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.56 : 1,058.34 = 1,058.34 : x
  2. Step 2: Convert to fraction form
    723.56/1,058.34 = 1,058.34/x
  3. Step 3: Cross multiply
    723.56x = 1,058.34 × 1,058.34
  4. Step 4: Simplify right side
    723.56x = 1,120,091.49
  5. Step 5: Solve for x
    x = 1,120,091.49/723.56
  6. Step 6: Final answer
    x = 1,548.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.