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Finding the Third Proportional to 499,086 and 767,906

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Solution

The third proportional to 499,086 and 767,906 is: 1,181,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,086 : 767,906 = 767,906 : x
  2. Step 2: Convert to fraction form
    499,086/767,906 = 767,906/x
  3. Step 3: Cross multiply
    499,086x = 767,906 × 767,906
  4. Step 4: Simplify right side
    499,086x = 589,679,624,836
  5. Step 5: Solve for x
    x = 589,679,624,836/499,086
  6. Step 6: Final answer
    x = 1,181,519.07

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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.