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Finding the Third Proportional to 508,163.63 and 748,222.31

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Solution

The third proportional to 508,163.63 and 748,222.31 is: 1,101,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,163.63 : 748,222.31 = 748,222.31 : x
  2. Step 2: Convert to fraction form
    508,163.63/748,222.31 = 748,222.31/x
  3. Step 3: Cross multiply
    508,163.63x = 748,222.31 × 748,222.31
  4. Step 4: Simplify right side
    508,163.63x = 559,836,628,922.85
  5. Step 5: Solve for x
    x = 559,836,628,922.85/508,163.63
  6. Step 6: Final answer
    x = 1,101,685.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.