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Finding the Third Proportional to 230,831 and 354,584

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Solution

The third proportional to 230,831 and 354,584 is: 544,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,831 : 354,584 = 354,584 : x
  2. Step 2: Convert to fraction form
    230,831/354,584 = 354,584/x
  3. Step 3: Cross multiply
    230,831x = 354,584 × 354,584
  4. Step 4: Simplify right side
    230,831x = 125,729,813,056
  5. Step 5: Solve for x
    x = 125,729,813,056/230,831
  6. Step 6: Final answer
    x = 544,683.40

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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.