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Finding the Third Proportional to 441,662 and 685,153

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Solution

The third proportional to 441,662 and 685,153 is: 1,062,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,662 : 685,153 = 685,153 : x
  2. Step 2: Convert to fraction form
    441,662/685,153 = 685,153/x
  3. Step 3: Cross multiply
    441,662x = 685,153 × 685,153
  4. Step 4: Simplify right side
    441,662x = 469,434,633,409
  5. Step 5: Solve for x
    x = 469,434,633,409/441,662
  6. Step 6: Final answer
    x = 1,062,882.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.