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Finding the Third Proportional to 212,816 and 461,056

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Solution

The third proportional to 212,816 and 461,056 is: 998,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,816 : 461,056 = 461,056 : x
  2. Step 2: Convert to fraction form
    212,816/461,056 = 461,056/x
  3. Step 3: Cross multiply
    212,816x = 461,056 × 461,056
  4. Step 4: Simplify right side
    212,816x = 212,572,635,136
  5. Step 5: Solve for x
    x = 212,572,635,136/212,816
  6. Step 6: Final answer
    x = 998,856.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.