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Finding the Third Proportional to 284,983 and 608,105

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Solution

The third proportional to 284,983 and 608,105 is: 1,297,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,983 : 608,105 = 608,105 : x
  2. Step 2: Convert to fraction form
    284,983/608,105 = 608,105/x
  3. Step 3: Cross multiply
    284,983x = 608,105 × 608,105
  4. Step 4: Simplify right side
    284,983x = 369,791,691,025
  5. Step 5: Solve for x
    x = 369,791,691,025/284,983
  6. Step 6: Final answer
    x = 1,297,592.11

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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.