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Finding the Third Proportional to 274,066 and 610,415

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Solution

The third proportional to 274,066 and 610,415 is: 1,359,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,066 : 610,415 = 610,415 : x
  2. Step 2: Convert to fraction form
    274,066/610,415 = 610,415/x
  3. Step 3: Cross multiply
    274,066x = 610,415 × 610,415
  4. Step 4: Simplify right side
    274,066x = 372,606,472,225
  5. Step 5: Solve for x
    x = 372,606,472,225/274,066
  6. Step 6: Final answer
    x = 1,359,550.15

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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.