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Finding the Third Proportional to 274,069 and 610,422

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Solution

The third proportional to 274,069 and 610,422 is: 1,359,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,069 : 610,422 = 610,422 : x
  2. Step 2: Convert to fraction form
    274,069/610,422 = 610,422/x
  3. Step 3: Cross multiply
    274,069x = 610,422 × 610,422
  4. Step 4: Simplify right side
    274,069x = 372,615,018,084
  5. Step 5: Solve for x
    x = 372,615,018,084/274,069
  6. Step 6: Final answer
    x = 1,359,566.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.