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Finding the Third Proportional to 514.79 and 883.25

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Solution

The third proportional to 514.79 and 883.25 is: 1,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.79 : 883.25 = 883.25 : x
  2. Step 2: Convert to fraction form
    514.79/883.25 = 883.25/x
  3. Step 3: Cross multiply
    514.79x = 883.25 × 883.25
  4. Step 4: Simplify right side
    514.79x = 780,127.11
  5. Step 5: Solve for x
    x = 780,127.11/514.79
  6. Step 6: Final answer
    x = 1,515.42

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.