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Finding the Third Proportional to 572.34 and 1,232.86

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Solution

The third proportional to 572.34 and 1,232.86 is: 2,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.34 : 1,232.86 = 1,232.86 : x
  2. Step 2: Convert to fraction form
    572.34/1,232.86 = 1,232.86/x
  3. Step 3: Cross multiply
    572.34x = 1,232.86 × 1,232.86
  4. Step 4: Simplify right side
    572.34x = 1,519,942.24
  5. Step 5: Solve for x
    x = 1,519,942.24/572.34
  6. Step 6: Final answer
    x = 2,655.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.