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Finding the Third Proportional to 284,979 and 608,097

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Solution

The third proportional to 284,979 and 608,097 is: 1,297,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,979 : 608,097 = 608,097 : x
  2. Step 2: Convert to fraction form
    284,979/608,097 = 608,097/x
  3. Step 3: Cross multiply
    284,979x = 608,097 × 608,097
  4. Step 4: Simplify right side
    284,979x = 369,781,961,409
  5. Step 5: Solve for x
    x = 369,781,961,409/284,979
  6. Step 6: Final answer
    x = 1,297,576.18

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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.