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Finding the Third Proportional to 419,040 and 648,715.50

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Solution

The third proportional to 419,040 and 648,715.50 is: 1,004,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,040 : 648,715.50 = 648,715.50 : x
  2. Step 2: Convert to fraction form
    419,040/648,715.50 = 648,715.50/x
  3. Step 3: Cross multiply
    419,040x = 648,715.50 × 648,715.50
  4. Step 4: Simplify right side
    419,040x = 420,831,799,940.25
  5. Step 5: Solve for x
    x = 420,831,799,940.25/419,040
  6. Step 6: Final answer
    x = 1,004,275.96

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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.