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Finding the Third Proportional to 444,469 and 706,070

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Solution

The third proportional to 444,469 and 706,070 is: 1,121,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,469 : 706,070 = 706,070 : x
  2. Step 2: Convert to fraction form
    444,469/706,070 = 706,070/x
  3. Step 3: Cross multiply
    444,469x = 706,070 × 706,070
  4. Step 4: Simplify right side
    444,469x = 498,534,844,900
  5. Step 5: Solve for x
    x = 498,534,844,900/444,469
  6. Step 6: Final answer
    x = 1,121,641.43

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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.