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Finding the Third Proportional to 514.75 and 803.50

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Solution

The third proportional to 514.75 and 803.50 is: 1,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.75 : 803.50 = 803.50 : x
  2. Step 2: Convert to fraction form
    514.75/803.50 = 803.50/x
  3. Step 3: Cross multiply
    514.75x = 803.50 × 803.50
  4. Step 4: Simplify right side
    514.75x = 645,612.25
  5. Step 5: Solve for x
    x = 645,612.25/514.75
  6. Step 6: Final answer
    x = 1,254.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.