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Finding the Third Proportional to 291,425 and 627,137

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Solution

The third proportional to 291,425 and 627,137 is: 1,349,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,425 : 627,137 = 627,137 : x
  2. Step 2: Convert to fraction form
    291,425/627,137 = 627,137/x
  3. Step 3: Cross multiply
    291,425x = 627,137 × 627,137
  4. Step 4: Simplify right side
    291,425x = 393,300,816,769
  5. Step 5: Solve for x
    x = 393,300,816,769/291,425
  6. Step 6: Final answer
    x = 1,349,578.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.