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Finding the Third Proportional to 284,910 and 607,956

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Solution

The third proportional to 284,910 and 607,956 is: 1,297,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,910 : 607,956 = 607,956 : x
  2. Step 2: Convert to fraction form
    284,910/607,956 = 607,956/x
  3. Step 3: Cross multiply
    284,910x = 607,956 × 607,956
  4. Step 4: Simplify right side
    284,910x = 369,610,497,936
  5. Step 5: Solve for x
    x = 369,610,497,936/284,910
  6. Step 6: Final answer
    x = 1,297,288.61

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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.