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Finding the Third Proportional to 635.44 and 750.84

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Solution

The third proportional to 635.44 and 750.84 is: 887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.44 : 750.84 = 750.84 : x
  2. Step 2: Convert to fraction form
    635.44/750.84 = 750.84/x
  3. Step 3: Cross multiply
    635.44x = 750.84 × 750.84
  4. Step 4: Simplify right side
    635.44x = 563,766.34
  5. Step 5: Solve for x
    x = 563,766.34/635.44
  6. Step 6: Final answer
    x = 887.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.