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Finding the Third Proportional to 650,660.63 and 972,163.13

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Solution

The third proportional to 650,660.63 and 972,163.13 is: 1,452,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,660.63 : 972,163.13 = 972,163.13 : x
  2. Step 2: Convert to fraction form
    650,660.63/972,163.13 = 972,163.13/x
  3. Step 3: Cross multiply
    650,660.63x = 972,163.13 × 972,163.13
  4. Step 4: Simplify right side
    650,660.63x = 945,101,141,609.77
  5. Step 5: Solve for x
    x = 945,101,141,609.77/650,660.63
  6. Step 6: Final answer
    x = 1,452,525.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.