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Finding the Third Proportional to 581.81 and 902.06

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Solution

The third proportional to 581.81 and 902.06 is: 1,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.81 : 902.06 = 902.06 : x
  2. Step 2: Convert to fraction form
    581.81/902.06 = 902.06/x
  3. Step 3: Cross multiply
    581.81x = 902.06 × 902.06
  4. Step 4: Simplify right side
    581.81x = 813,716.75
  5. Step 5: Solve for x
    x = 813,716.75/581.81
  6. Step 6: Final answer
    x = 1,398.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.