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Finding the Third Proportional to 444,478 and 706,085

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Solution

The third proportional to 444,478 and 706,085 is: 1,121,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,478 : 706,085 = 706,085 : x
  2. Step 2: Convert to fraction form
    444,478/706,085 = 706,085/x
  3. Step 3: Cross multiply
    444,478x = 706,085 × 706,085
  4. Step 4: Simplify right side
    444,478x = 498,556,027,225
  5. Step 5: Solve for x
    x = 498,556,027,225/444,478
  6. Step 6: Final answer
    x = 1,121,666.38

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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.