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Finding the Third Proportional to 650 and 750.50

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Solution

The third proportional to 650 and 750.50 is: 866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 750.50 = 750.50 : x
  2. Step 2: Convert to fraction form
    650/750.50 = 750.50/x
  3. Step 3: Cross multiply
    650x = 750.50 × 750.50
  4. Step 4: Simplify right side
    650x = 563,250.25
  5. Step 5: Solve for x
    x = 563,250.25/650
  6. Step 6: Final answer
    x = 866.54

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.