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Finding the Third Proportional to 444,467 and 706,065

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Solution

The third proportional to 444,467 and 706,065 is: 1,121,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,467 : 706,065 = 706,065 : x
  2. Step 2: Convert to fraction form
    444,467/706,065 = 706,065/x
  3. Step 3: Cross multiply
    444,467x = 706,065 × 706,065
  4. Step 4: Simplify right side
    444,467x = 498,527,784,225
  5. Step 5: Solve for x
    x = 498,527,784,225/444,467
  6. Step 6: Final answer
    x = 1,121,630.59

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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.