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Finding the Third Proportional to 441,058 and 659,824

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Solution

The third proportional to 441,058 and 659,824 is: 987,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,058 : 659,824 = 659,824 : x
  2. Step 2: Convert to fraction form
    441,058/659,824 = 659,824/x
  3. Step 3: Cross multiply
    441,058x = 659,824 × 659,824
  4. Step 4: Simplify right side
    441,058x = 435,367,710,976
  5. Step 5: Solve for x
    x = 435,367,710,976/441,058
  6. Step 6: Final answer
    x = 987,098.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.