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Finding the Third Proportional to 499,096 and 767,924

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Solution

The third proportional to 499,096 and 767,924 is: 1,181,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,096 : 767,924 = 767,924 : x
  2. Step 2: Convert to fraction form
    499,096/767,924 = 767,924/x
  3. Step 3: Cross multiply
    499,096x = 767,924 × 767,924
  4. Step 4: Simplify right side
    499,096x = 589,707,269,776
  5. Step 5: Solve for x
    x = 589,707,269,776/499,096
  6. Step 6: Final answer
    x = 1,181,550.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.