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Finding the Third Proportional to 230,832 and 360,828

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Solution

The third proportional to 230,832 and 360,828 is: 564,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,832 : 360,828 = 360,828 : x
  2. Step 2: Convert to fraction form
    230,832/360,828 = 360,828/x
  3. Step 3: Cross multiply
    230,832x = 360,828 × 360,828
  4. Step 4: Simplify right side
    230,832x = 130,196,845,584
  5. Step 5: Solve for x
    x = 130,196,845,584/230,832
  6. Step 6: Final answer
    x = 564,032.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.