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Finding the Third Proportional to 327,784 and 448,590

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Solution

The third proportional to 327,784 and 448,590 is: 613,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,784 : 448,590 = 448,590 : x
  2. Step 2: Convert to fraction form
    327,784/448,590 = 448,590/x
  3. Step 3: Cross multiply
    327,784x = 448,590 × 448,590
  4. Step 4: Simplify right side
    327,784x = 201,232,988,100
  5. Step 5: Solve for x
    x = 201,232,988,100/327,784
  6. Step 6: Final answer
    x = 613,919.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.