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Finding the Third Proportional to 803.81 and 1,058.06

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Solution

The third proportional to 803.81 and 1,058.06 is: 1,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.81 : 1,058.06 = 1,058.06 : x
  2. Step 2: Convert to fraction form
    803.81/1,058.06 = 1,058.06/x
  3. Step 3: Cross multiply
    803.81x = 1,058.06 × 1,058.06
  4. Step 4: Simplify right side
    803.81x = 1,119,496.25
  5. Step 5: Solve for x
    x = 1,119,496.25/803.81
  6. Step 6: Final answer
    x = 1,392.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.