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Finding the Third Proportional to 266,116 and 401,936

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Solution

The third proportional to 266,116 and 401,936 is: 607,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,116 : 401,936 = 401,936 : x
  2. Step 2: Convert to fraction form
    266,116/401,936 = 401,936/x
  3. Step 3: Cross multiply
    266,116x = 401,936 × 401,936
  4. Step 4: Simplify right side
    266,116x = 161,552,548,096
  5. Step 5: Solve for x
    x = 161,552,548,096/266,116
  6. Step 6: Final answer
    x = 607,075.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.