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Finding the Third Proportional to 215,603 and 453,546

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Solution

The third proportional to 215,603 and 453,546 is: 954,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,603 : 453,546 = 453,546 : x
  2. Step 2: Convert to fraction form
    215,603/453,546 = 453,546/x
  3. Step 3: Cross multiply
    215,603x = 453,546 × 453,546
  4. Step 4: Simplify right side
    215,603x = 205,703,974,116
  5. Step 5: Solve for x
    x = 205,703,974,116/215,603
  6. Step 6: Final answer
    x = 954,086.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.