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Finding the Third Proportional to 208,224 and 451,440

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Solution

The third proportional to 208,224 and 451,440 is: 978,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224 : 451,440 = 451,440 : x
  2. Step 2: Convert to fraction form
    208,224/451,440 = 451,440/x
  3. Step 3: Cross multiply
    208,224x = 451,440 × 451,440
  4. Step 4: Simplify right side
    208,224x = 203,798,073,600
  5. Step 5: Solve for x
    x = 203,798,073,600/208,224
  6. Step 6: Final answer
    x = 978,744.40

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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.