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Finding the Third Proportional to 650,658.66 and 972,160.73

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Solution

The third proportional to 650,658.66 and 972,160.73 is: 1,452,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,658.66 : 972,160.73 = 972,160.73 : x
  2. Step 2: Convert to fraction form
    650,658.66/972,160.73 = 972,160.73/x
  3. Step 3: Cross multiply
    650,658.66x = 972,160.73 × 972,160.73
  4. Step 4: Simplify right side
    650,658.66x = 945,096,493,460.54
  5. Step 5: Solve for x
    x = 945,096,493,460.54/650,658.66
  6. Step 6: Final answer
    x = 1,452,522.74

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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.