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Finding the Third Proportional to 199,961 and 472,037

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Solution

The third proportional to 199,961 and 472,037 is: 1,114,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,961 : 472,037 = 472,037 : x
  2. Step 2: Convert to fraction form
    199,961/472,037 = 472,037/x
  3. Step 3: Cross multiply
    199,961x = 472,037 × 472,037
  4. Step 4: Simplify right side
    199,961x = 222,818,929,369
  5. Step 5: Solve for x
    x = 222,818,929,369/199,961
  6. Step 6: Final answer
    x = 1,114,311.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.