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Finding the Third Proportional to 274,558 and 601,604

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Solution

The third proportional to 274,558 and 601,604 is: 1,318,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,558 : 601,604 = 601,604 : x
  2. Step 2: Convert to fraction form
    274,558/601,604 = 601,604/x
  3. Step 3: Cross multiply
    274,558x = 601,604 × 601,604
  4. Step 4: Simplify right side
    274,558x = 361,927,372,816
  5. Step 5: Solve for x
    x = 361,927,372,816/274,558
  6. Step 6: Final answer
    x = 1,318,218.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.