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Finding the Third Proportional to 273,670 and 597,777

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Solution

The third proportional to 273,670 and 597,777 is: 1,305,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,670 : 597,777 = 597,777 : x
  2. Step 2: Convert to fraction form
    273,670/597,777 = 597,777/x
  3. Step 3: Cross multiply
    273,670x = 597,777 × 597,777
  4. Step 4: Simplify right side
    273,670x = 357,337,341,729
  5. Step 5: Solve for x
    x = 357,337,341,729/273,670
  6. Step 6: Final answer
    x = 1,305,723.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.