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Finding the Third Proportional to 314,436 and 444,498

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Solution

The third proportional to 314,436 and 444,498 is: 628,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,436 : 444,498 = 444,498 : x
  2. Step 2: Convert to fraction form
    314,436/444,498 = 444,498/x
  3. Step 3: Cross multiply
    314,436x = 444,498 × 444,498
  4. Step 4: Simplify right side
    314,436x = 197,578,472,004
  5. Step 5: Solve for x
    x = 197,578,472,004/314,436
  6. Step 6: Final answer
    x = 628,358.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.