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Finding the Third Proportional to 291,884 and 633,588

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Solution

The third proportional to 291,884 and 633,588 is: 1,375,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,884 : 633,588 = 633,588 : x
  2. Step 2: Convert to fraction form
    291,884/633,588 = 633,588/x
  3. Step 3: Cross multiply
    291,884x = 633,588 × 633,588
  4. Step 4: Simplify right side
    291,884x = 401,433,753,744
  5. Step 5: Solve for x
    x = 401,433,753,744/291,884
  6. Step 6: Final answer
    x = 1,375,319.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.