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Finding the Third Proportional to 299,714 and 627,136

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Solution

The third proportional to 299,714 and 627,136 is: 1,312,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,714 : 627,136 = 627,136 : x
  2. Step 2: Convert to fraction form
    299,714/627,136 = 627,136/x
  3. Step 3: Cross multiply
    299,714x = 627,136 × 627,136
  4. Step 4: Simplify right side
    299,714x = 393,299,562,496
  5. Step 5: Solve for x
    x = 393,299,562,496/299,714
  6. Step 6: Final answer
    x = 1,312,249.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.