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Finding the Third Proportional to 207,106 and 444,420

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Solution

The third proportional to 207,106 and 444,420 is: 953,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,106 : 444,420 = 444,420 : x
  2. Step 2: Convert to fraction form
    207,106/444,420 = 444,420/x
  3. Step 3: Cross multiply
    207,106x = 444,420 × 444,420
  4. Step 4: Simplify right side
    207,106x = 197,509,136,400
  5. Step 5: Solve for x
    x = 197,509,136,400/207,106
  6. Step 6: Final answer
    x = 953,662.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.