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Finding the Third Proportional to 451,603.69 and 664,930.69

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Solution

The third proportional to 451,603.69 and 664,930.69 is: 979,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,603.69 : 664,930.69 = 664,930.69 : x
  2. Step 2: Convert to fraction form
    451,603.69/664,930.69 = 664,930.69/x
  3. Step 3: Cross multiply
    451,603.69x = 664,930.69 × 664,930.69
  4. Step 4: Simplify right side
    451,603.69x = 442,132,819,179.22
  5. Step 5: Solve for x
    x = 442,132,819,179.22/451,603.69
  6. Step 6: Final answer
    x = 979,028.36

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