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Finding the Third Proportional to 394,374 and 643,909

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Solution

The third proportional to 394,374 and 643,909 is: 1,051,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,374 : 643,909 = 643,909 : x
  2. Step 2: Convert to fraction form
    394,374/643,909 = 643,909/x
  3. Step 3: Cross multiply
    394,374x = 643,909 × 643,909
  4. Step 4: Simplify right side
    394,374x = 414,618,800,281
  5. Step 5: Solve for x
    x = 414,618,800,281/394,374
  6. Step 6: Final answer
    x = 1,051,334.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.