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Finding the Third Proportional to 274,608 and 413,316

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Solution

The third proportional to 274,608 and 413,316 is: 622,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,608 : 413,316 = 413,316 : x
  2. Step 2: Convert to fraction form
    274,608/413,316 = 413,316/x
  3. Step 3: Cross multiply
    274,608x = 413,316 × 413,316
  4. Step 4: Simplify right side
    274,608x = 170,830,115,856
  5. Step 5: Solve for x
    x = 170,830,115,856/274,608
  6. Step 6: Final answer
    x = 622,087.18

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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.