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Finding the Third Proportional to 301,016 and 409,997.50

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Solution

The third proportional to 301,016 and 409,997.50 is: 558,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,016 : 409,997.50 = 409,997.50 : x
  2. Step 2: Convert to fraction form
    301,016/409,997.50 = 409,997.50/x
  3. Step 3: Cross multiply
    301,016x = 409,997.50 × 409,997.50
  4. Step 4: Simplify right side
    301,016x = 168,097,950,006.25
  5. Step 5: Solve for x
    x = 168,097,950,006.25/301,016
  6. Step 6: Final answer
    x = 558,435.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.