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Finding the Third Proportional to 502.75 and 1,322.50

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Solution

The third proportional to 502.75 and 1,322.50 is: 3,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.75 : 1,322.50 = 1,322.50 : x
  2. Step 2: Convert to fraction form
    502.75/1,322.50 = 1,322.50/x
  3. Step 3: Cross multiply
    502.75x = 1,322.50 × 1,322.50
  4. Step 4: Simplify right side
    502.75x = 1,749,006.25
  5. Step 5: Solve for x
    x = 1,749,006.25/502.75
  6. Step 6: Final answer
    x = 3,478.88

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.