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Finding the Third Proportional to 361,832 and 531,900

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Solution

The third proportional to 361,832 and 531,900 is: 781,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,832 : 531,900 = 531,900 : x
  2. Step 2: Convert to fraction form
    361,832/531,900 = 531,900/x
  3. Step 3: Cross multiply
    361,832x = 531,900 × 531,900
  4. Step 4: Simplify right side
    361,832x = 282,917,610,000
  5. Step 5: Solve for x
    x = 282,917,610,000/361,832
  6. Step 6: Final answer
    x = 781,903.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.