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Finding the Third Proportional to 570.80 and 1,232.72

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Solution

The third proportional to 570.80 and 1,232.72 is: 2,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.80 : 1,232.72 = 1,232.72 : x
  2. Step 2: Convert to fraction form
    570.80/1,232.72 = 1,232.72/x
  3. Step 3: Cross multiply
    570.80x = 1,232.72 × 1,232.72
  4. Step 4: Simplify right side
    570.80x = 1,519,595.52
  5. Step 5: Solve for x
    x = 1,519,595.52/570.80
  6. Step 6: Final answer
    x = 2,662.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.