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Finding the Third Proportional to 688 and 752.50

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Solution

The third proportional to 688 and 752.50 is: 823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 752.50 = 752.50 : x
  2. Step 2: Convert to fraction form
    688/752.50 = 752.50/x
  3. Step 3: Cross multiply
    688x = 752.50 × 752.50
  4. Step 4: Simplify right side
    688x = 566,256.25
  5. Step 5: Solve for x
    x = 566,256.25/688
  6. Step 6: Final answer
    x = 823.05

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.