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Finding the Third Proportional to 284,956 and 608,056

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Solution

The third proportional to 284,956 and 608,056 is: 1,297,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,956 : 608,056 = 608,056 : x
  2. Step 2: Convert to fraction form
    284,956/608,056 = 608,056/x
  3. Step 3: Cross multiply
    284,956x = 608,056 × 608,056
  4. Step 4: Simplify right side
    284,956x = 369,732,099,136
  5. Step 5: Solve for x
    x = 369,732,099,136/284,956
  6. Step 6: Final answer
    x = 1,297,505.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.