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Finding the Third Proportional to 344,792.25 and 535,230.75

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Solution

The third proportional to 344,792.25 and 535,230.75 is: 830,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,792.25 : 535,230.75 = 535,230.75 : x
  2. Step 2: Convert to fraction form
    344,792.25/535,230.75 = 535,230.75/x
  3. Step 3: Cross multiply
    344,792.25x = 535,230.75 × 535,230.75
  4. Step 4: Simplify right side
    344,792.25x = 286,471,955,745.56
  5. Step 5: Solve for x
    x = 286,471,955,745.56/344,792.25
  6. Step 6: Final answer
    x = 830,853.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.