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Finding the Third Proportional to 217,784 and 336,477

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Solution

The third proportional to 217,784 and 336,477 is: 519,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,784 : 336,477 = 336,477 : x
  2. Step 2: Convert to fraction form
    217,784/336,477 = 336,477/x
  3. Step 3: Cross multiply
    217,784x = 336,477 × 336,477
  4. Step 4: Simplify right side
    217,784x = 113,216,771,529
  5. Step 5: Solve for x
    x = 113,216,771,529/217,784
  6. Step 6: Final answer
    x = 519,858.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.