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Finding the Third Proportional to 419,044 and 648,721.50

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Solution

The third proportional to 419,044 and 648,721.50 is: 1,004,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,044 : 648,721.50 = 648,721.50 : x
  2. Step 2: Convert to fraction form
    419,044/648,721.50 = 648,721.50/x
  3. Step 3: Cross multiply
    419,044x = 648,721.50 × 648,721.50
  4. Step 4: Simplify right side
    419,044x = 420,839,584,562.25
  5. Step 5: Solve for x
    x = 420,839,584,562.25/419,044
  6. Step 6: Final answer
    x = 1,004,284.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.