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Finding the Third Proportional to 494,758 and 740,842

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Solution

The third proportional to 494,758 and 740,842 is: 1,109,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,758 : 740,842 = 740,842 : x
  2. Step 2: Convert to fraction form
    494,758/740,842 = 740,842/x
  3. Step 3: Cross multiply
    494,758x = 740,842 × 740,842
  4. Step 4: Simplify right side
    494,758x = 548,846,868,964
  5. Step 5: Solve for x
    x = 548,846,868,964/494,758
  6. Step 6: Final answer
    x = 1,109,323.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.