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Finding the Third Proportional to 514.41 and 1,097.16

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Solution

The third proportional to 514.41 and 1,097.16 is: 2,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.41 : 1,097.16 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    514.41/1,097.16 = 1,097.16/x
  3. Step 3: Cross multiply
    514.41x = 1,097.16 × 1,097.16
  4. Step 4: Simplify right side
    514.41x = 1,203,751.84
  5. Step 5: Solve for x
    x = 1,203,751.84/514.41
  6. Step 6: Final answer
    x = 2,340.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.