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Finding the Third Proportional to 494,762 and 740,848

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Solution

The third proportional to 494,762 and 740,848 is: 1,109,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,762 : 740,848 = 740,848 : x
  2. Step 2: Convert to fraction form
    494,762/740,848 = 740,848/x
  3. Step 3: Cross multiply
    494,762x = 740,848 × 740,848
  4. Step 4: Simplify right side
    494,762x = 548,855,759,104
  5. Step 5: Solve for x
    x = 548,855,759,104/494,762
  6. Step 6: Final answer
    x = 1,109,332.89

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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.