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Finding the Third Proportional to 291,177 and 617,341

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Solution

The third proportional to 291,177 and 617,341 is: 1,308,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,177 : 617,341 = 617,341 : x
  2. Step 2: Convert to fraction form
    291,177/617,341 = 617,341/x
  3. Step 3: Cross multiply
    291,177x = 617,341 × 617,341
  4. Step 4: Simplify right side
    291,177x = 381,109,910,281
  5. Step 5: Solve for x
    x = 381,109,910,281/291,177
  6. Step 6: Final answer
    x = 1,308,859.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.