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Finding the Third Proportional to 735.75 and 805.50

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Solution

The third proportional to 735.75 and 805.50 is: 881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 805.50 = 805.50 : x
  2. Step 2: Convert to fraction form
    735.75/805.50 = 805.50/x
  3. Step 3: Cross multiply
    735.75x = 805.50 × 805.50
  4. Step 4: Simplify right side
    735.75x = 648,830.25
  5. Step 5: Solve for x
    x = 648,830.25/735.75
  6. Step 6: Final answer
    x = 881.86

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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.