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Finding the Third Proportional to 735.38 and 1,296.47

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Solution

The third proportional to 735.38 and 1,296.47 is: 2,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.38 : 1,296.47 = 1,296.47 : x
  2. Step 2: Convert to fraction form
    735.38/1,296.47 = 1,296.47/x
  3. Step 3: Cross multiply
    735.38x = 1,296.47 × 1,296.47
  4. Step 4: Simplify right side
    735.38x = 1,680,831.22
  5. Step 5: Solve for x
    x = 1,680,831.22/735.38
  6. Step 6: Final answer
    x = 2,285.68

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.