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Finding the Third Proportional to 444,462.50 and 706,059.75

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Solution

The third proportional to 444,462.50 and 706,059.75 is: 1,121,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,462.50 : 706,059.75 = 706,059.75 : x
  2. Step 2: Convert to fraction form
    444,462.50/706,059.75 = 706,059.75/x
  3. Step 3: Cross multiply
    444,462.50x = 706,059.75 × 706,059.75
  4. Step 4: Simplify right side
    444,462.50x = 498,520,370,570.06
  5. Step 5: Solve for x
    x = 498,520,370,570.06/444,462.50
  6. Step 6: Final answer
    x = 1,121,625.27

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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.