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Finding the Third Proportional to 412,846 and 638,056

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Solution

The third proportional to 412,846 and 638,056 is: 986,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,846 : 638,056 = 638,056 : x
  2. Step 2: Convert to fraction form
    412,846/638,056 = 638,056/x
  3. Step 3: Cross multiply
    412,846x = 638,056 × 638,056
  4. Step 4: Simplify right side
    412,846x = 407,115,459,136
  5. Step 5: Solve for x
    x = 407,115,459,136/412,846
  6. Step 6: Final answer
    x = 986,119.42

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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.