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Finding the Third Proportional to 234,566 and 363,324

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Solution

The third proportional to 234,566 and 363,324 is: 562,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,566 : 363,324 = 363,324 : x
  2. Step 2: Convert to fraction form
    234,566/363,324 = 363,324/x
  3. Step 3: Cross multiply
    234,566x = 363,324 × 363,324
  4. Step 4: Simplify right side
    234,566x = 132,004,328,976
  5. Step 5: Solve for x
    x = 132,004,328,976/234,566
  6. Step 6: Final answer
    x = 562,759.86

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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.