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Finding the Third Proportional to 557.30 and 1,215.42

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Solution

The third proportional to 557.30 and 1,215.42 is: 2,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.30 : 1,215.42 = 1,215.42 : x
  2. Step 2: Convert to fraction form
    557.30/1,215.42 = 1,215.42/x
  3. Step 3: Cross multiply
    557.30x = 1,215.42 × 1,215.42
  4. Step 4: Simplify right side
    557.30x = 1,477,250.33
  5. Step 5: Solve for x
    x = 1,477,250.33/557.30
  6. Step 6: Final answer
    x = 2,650.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.