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Finding the Third Proportional to 577.13 and 906.19

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Solution

The third proportional to 577.13 and 906.19 is: 1,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 906.19 = 906.19 : x
  2. Step 2: Convert to fraction form
    577.13/906.19 = 906.19/x
  3. Step 3: Cross multiply
    577.13x = 906.19 × 906.19
  4. Step 4: Simplify right side
    577.13x = 821,175.79
  5. Step 5: Solve for x
    x = 821,175.79/577.13
  6. Step 6: Final answer
    x = 1,422.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.