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Finding the Third Proportional to 274,610 and 413,319

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Solution

The third proportional to 274,610 and 413,319 is: 622,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,610 : 413,319 = 413,319 : x
  2. Step 2: Convert to fraction form
    274,610/413,319 = 413,319/x
  3. Step 3: Cross multiply
    274,610x = 413,319 × 413,319
  4. Step 4: Simplify right side
    274,610x = 170,832,595,761
  5. Step 5: Solve for x
    x = 170,832,595,761/274,610
  6. Step 6: Final answer
    x = 622,091.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.