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Finding the Third Proportional to 444,471.50 and 706,073

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Solution

The third proportional to 444,471.50 and 706,073 is: 1,121,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,471.50 : 706,073 = 706,073 : x
  2. Step 2: Convert to fraction form
    444,471.50/706,073 = 706,073/x
  3. Step 3: Cross multiply
    444,471.50x = 706,073 × 706,073
  4. Step 4: Simplify right side
    444,471.50x = 498,539,081,329
  5. Step 5: Solve for x
    x = 498,539,081,329/444,471.50
  6. Step 6: Final answer
    x = 1,121,644.65

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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.