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Finding the Third Proportional to 414,306 and 639,777

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Solution

The third proportional to 414,306 and 639,777 is: 987,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,306 : 639,777 = 639,777 : x
  2. Step 2: Convert to fraction form
    414,306/639,777 = 639,777/x
  3. Step 3: Cross multiply
    414,306x = 639,777 × 639,777
  4. Step 4: Simplify right side
    414,306x = 409,314,609,729
  5. Step 5: Solve for x
    x = 409,314,609,729/414,306
  6. Step 6: Final answer
    x = 987,952.41

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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.