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Finding the Third Proportional to 429,524.02 and 888,776.30

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Solution

The third proportional to 429,524.02 and 888,776.30 is: 1,839,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,524.02 : 888,776.30 = 888,776.30 : x
  2. Step 2: Convert to fraction form
    429,524.02/888,776.30 = 888,776.30/x
  3. Step 3: Cross multiply
    429,524.02x = 888,776.30 × 888,776.30
  4. Step 4: Simplify right side
    429,524.02x = 789,923,305,886.84
  5. Step 5: Solve for x
    x = 789,923,305,886.84/429,524.02
  6. Step 6: Final answer
    x = 1,839,066.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.