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Finding the Third Proportional to 514.41 and 1,125.42

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Solution

The third proportional to 514.41 and 1,125.42 is: 2,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.41 : 1,125.42 = 1,125.42 : x
  2. Step 2: Convert to fraction form
    514.41/1,125.42 = 1,125.42/x
  3. Step 3: Cross multiply
    514.41x = 1,125.42 × 1,125.42
  4. Step 4: Simplify right side
    514.41x = 1,266,574.40
  5. Step 5: Solve for x
    x = 1,266,574.40/514.41
  6. Step 6: Final answer
    x = 2,462.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.