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Finding the Third Proportional to 581.44 and 900.56

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Solution

The third proportional to 581.44 and 900.56 is: 1,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.44 : 900.56 = 900.56 : x
  2. Step 2: Convert to fraction form
    581.44/900.56 = 900.56/x
  3. Step 3: Cross multiply
    581.44x = 900.56 × 900.56
  4. Step 4: Simplify right side
    581.44x = 811,012.82
  5. Step 5: Solve for x
    x = 811,012.82/581.44
  6. Step 6: Final answer
    x = 1,394.84

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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.