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Finding the Third Proportional to 444,298 and 633,206

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Solution

The third proportional to 444,298 and 633,206 is: 902,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,298 : 633,206 = 633,206 : x
  2. Step 2: Convert to fraction form
    444,298/633,206 = 633,206/x
  3. Step 3: Cross multiply
    444,298x = 633,206 × 633,206
  4. Step 4: Simplify right side
    444,298x = 400,949,838,436
  5. Step 5: Solve for x
    x = 400,949,838,436/444,298
  6. Step 6: Final answer
    x = 902,434.49

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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.