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Finding the Third Proportional to 414,099 and 648,850.50

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Solution

The third proportional to 414,099 and 648,850.50 is: 1,016,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,099 : 648,850.50 = 648,850.50 : x
  2. Step 2: Convert to fraction form
    414,099/648,850.50 = 648,850.50/x
  3. Step 3: Cross multiply
    414,099x = 648,850.50 × 648,850.50
  4. Step 4: Simplify right side
    414,099x = 421,006,971,350.25
  5. Step 5: Solve for x
    x = 421,006,971,350.25/414,099
  6. Step 6: Final answer
    x = 1,016,681.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.