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Finding the Third Proportional to 284,147 and 607,694

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Solution

The third proportional to 284,147 and 607,694 is: 1,299,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,147 : 607,694 = 607,694 : x
  2. Step 2: Convert to fraction form
    284,147/607,694 = 607,694/x
  3. Step 3: Cross multiply
    284,147x = 607,694 × 607,694
  4. Step 4: Simplify right side
    284,147x = 369,291,997,636
  5. Step 5: Solve for x
    x = 369,291,997,636/284,147
  6. Step 6: Final answer
    x = 1,299,651.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.