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Finding the Third Proportional to 577.31 and 1,357.13

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Solution

The third proportional to 577.31 and 1,357.13 is: 3,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.31 : 1,357.13 = 1,357.13 : x
  2. Step 2: Convert to fraction form
    577.31/1,357.13 = 1,357.13/x
  3. Step 3: Cross multiply
    577.31x = 1,357.13 × 1,357.13
  4. Step 4: Simplify right side
    577.31x = 1,841,788.27
  5. Step 5: Solve for x
    x = 1,841,788.27/577.31
  6. Step 6: Final answer
    x = 3,190.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.