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Finding the Third Proportional to 444,231 and 633,118

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Solution

The third proportional to 444,231 and 633,118 is: 902,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,231 : 633,118 = 633,118 : x
  2. Step 2: Convert to fraction form
    444,231/633,118 = 633,118/x
  3. Step 3: Cross multiply
    444,231x = 633,118 × 633,118
  4. Step 4: Simplify right side
    444,231x = 400,838,401,924
  5. Step 5: Solve for x
    x = 400,838,401,924/444,231
  6. Step 6: Final answer
    x = 902,319.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.