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Finding the Third Proportional to 317,696 and 444,360

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Solution

The third proportional to 317,696 and 444,360 is: 621,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,696 : 444,360 = 444,360 : x
  2. Step 2: Convert to fraction form
    317,696/444,360 = 444,360/x
  3. Step 3: Cross multiply
    317,696x = 444,360 × 444,360
  4. Step 4: Simplify right side
    317,696x = 197,455,809,600
  5. Step 5: Solve for x
    x = 197,455,809,600/317,696
  6. Step 6: Final answer
    x = 621,524.38

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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.