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Finding the Third Proportional to 200,337 and 431,777

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Solution

The third proportional to 200,337 and 431,777 is: 930,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,337 : 431,777 = 431,777 : x
  2. Step 2: Convert to fraction form
    200,337/431,777 = 431,777/x
  3. Step 3: Cross multiply
    200,337x = 431,777 × 431,777
  4. Step 4: Simplify right side
    200,337x = 186,431,377,729
  5. Step 5: Solve for x
    x = 186,431,377,729/200,337
  6. Step 6: Final answer
    x = 930,588.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.