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Finding the Third Proportional to 284,981 and 608,101

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Solution

The third proportional to 284,981 and 608,101 is: 1,297,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,981 : 608,101 = 608,101 : x
  2. Step 2: Convert to fraction form
    284,981/608,101 = 608,101/x
  3. Step 3: Cross multiply
    284,981x = 608,101 × 608,101
  4. Step 4: Simplify right side
    284,981x = 369,786,826,201
  5. Step 5: Solve for x
    x = 369,786,826,201/284,981
  6. Step 6: Final answer
    x = 1,297,584.14

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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.