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Finding the Third Proportional to 557.25 and 1,290.19

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Solution

The third proportional to 557.25 and 1,290.19 is: 2,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.25 : 1,290.19 = 1,290.19 : x
  2. Step 2: Convert to fraction form
    557.25/1,290.19 = 1,290.19/x
  3. Step 3: Cross multiply
    557.25x = 1,290.19 × 1,290.19
  4. Step 4: Simplify right side
    557.25x = 1,664,583.79
  5. Step 5: Solve for x
    x = 1,664,583.79/557.25
  6. Step 6: Final answer
    x = 2,987.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.