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Finding the Third Proportional to 350,661 and 766,932

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Solution

The third proportional to 350,661 and 766,932 is: 1,677,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,661 : 766,932 = 766,932 : x
  2. Step 2: Convert to fraction form
    350,661/766,932 = 766,932/x
  3. Step 3: Cross multiply
    350,661x = 766,932 × 766,932
  4. Step 4: Simplify right side
    350,661x = 588,184,692,624
  5. Step 5: Solve for x
    x = 588,184,692,624/350,661
  6. Step 6: Final answer
    x = 1,677,359.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.