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Finding the Third Proportional to 284,985 and 608,109

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Solution

The third proportional to 284,985 and 608,109 is: 1,297,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,985 : 608,109 = 608,109 : x
  2. Step 2: Convert to fraction form
    284,985/608,109 = 608,109/x
  3. Step 3: Cross multiply
    284,985x = 608,109 × 608,109
  4. Step 4: Simplify right side
    284,985x = 369,796,555,881
  5. Step 5: Solve for x
    x = 369,796,555,881/284,985
  6. Step 6: Final answer
    x = 1,297,600.07

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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.