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Finding the Third Proportional to 499,758 and 768,753

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Solution

The third proportional to 499,758 and 768,753 is: 1,182,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,758 : 768,753 = 768,753 : x
  2. Step 2: Convert to fraction form
    499,758/768,753 = 768,753/x
  3. Step 3: Cross multiply
    499,758x = 768,753 × 768,753
  4. Step 4: Simplify right side
    499,758x = 590,981,175,009
  5. Step 5: Solve for x
    x = 590,981,175,009/499,758
  6. Step 6: Final answer
    x = 1,182,534.70

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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.