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Finding the Third Proportional to 444,177 and 706,441.50

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Solution

The third proportional to 444,177 and 706,441.50 is: 1,123,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,177 : 706,441.50 = 706,441.50 : x
  2. Step 2: Convert to fraction form
    444,177/706,441.50 = 706,441.50/x
  3. Step 3: Cross multiply
    444,177x = 706,441.50 × 706,441.50
  4. Step 4: Simplify right side
    444,177x = 499,059,592,922.25
  5. Step 5: Solve for x
    x = 499,059,592,922.25/444,177
  6. Step 6: Final answer
    x = 1,123,560.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.