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Finding the Third Proportional to 822.50 and 1,308.75

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Solution

The third proportional to 822.50 and 1,308.75 is: 2,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.50 : 1,308.75 = 1,308.75 : x
  2. Step 2: Convert to fraction form
    822.50/1,308.75 = 1,308.75/x
  3. Step 3: Cross multiply
    822.50x = 1,308.75 × 1,308.75
  4. Step 4: Simplify right side
    822.50x = 1,712,826.56
  5. Step 5: Solve for x
    x = 1,712,826.56/822.50
  6. Step 6: Final answer
    x = 2,082.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.