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Finding the Third Proportional to 348,648.75 and 538,350.75

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Solution

The third proportional to 348,648.75 and 538,350.75 is: 831,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,648.75 : 538,350.75 = 538,350.75 : x
  2. Step 2: Convert to fraction form
    348,648.75/538,350.75 = 538,350.75/x
  3. Step 3: Cross multiply
    348,648.75x = 538,350.75 × 538,350.75
  4. Step 4: Simplify right side
    348,648.75x = 289,821,530,025.56
  5. Step 5: Solve for x
    x = 289,821,530,025.56/348,648.75
  6. Step 6: Final answer
    x = 831,270.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.