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Finding the Third Proportional to 514.69 and 1,127.06

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Solution

The third proportional to 514.69 and 1,127.06 is: 2,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 1,127.06 = 1,127.06 : x
  2. Step 2: Convert to fraction form
    514.69/1,127.06 = 1,127.06/x
  3. Step 3: Cross multiply
    514.69x = 1,127.06 × 1,127.06
  4. Step 4: Simplify right side
    514.69x = 1,270,269.88
  5. Step 5: Solve for x
    x = 1,270,269.88/514.69
  6. Step 6: Final answer
    x = 2,468.04

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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.