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Finding the Third Proportional to 445,203 and 622,768.50

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Solution

The third proportional to 445,203 and 622,768.50 is: 871,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,203 : 622,768.50 = 622,768.50 : x
  2. Step 2: Convert to fraction form
    445,203/622,768.50 = 622,768.50/x
  3. Step 3: Cross multiply
    445,203x = 622,768.50 × 622,768.50
  4. Step 4: Simplify right side
    445,203x = 387,840,604,592.25
  5. Step 5: Solve for x
    x = 387,840,604,592.25/445,203
  6. Step 6: Final answer
    x = 871,154.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.