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Finding the Third Proportional to 407,817 and 622,462.50

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Solution

The third proportional to 407,817 and 622,462.50 is: 950,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,817 : 622,462.50 = 622,462.50 : x
  2. Step 2: Convert to fraction form
    407,817/622,462.50 = 622,462.50/x
  3. Step 3: Cross multiply
    407,817x = 622,462.50 × 622,462.50
  4. Step 4: Simplify right side
    407,817x = 387,459,563,906.25
  5. Step 5: Solve for x
    x = 387,459,563,906.25/407,817
  6. Step 6: Final answer
    x = 950,081.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.