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Finding the Third Proportional to 215,600 and 453,543

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Solution

The third proportional to 215,600 and 453,543 is: 954,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,600 : 453,543 = 453,543 : x
  2. Step 2: Convert to fraction form
    215,600/453,543 = 453,543/x
  3. Step 3: Cross multiply
    215,600x = 453,543 × 453,543
  4. Step 4: Simplify right side
    215,600x = 205,701,252,849
  5. Step 5: Solve for x
    x = 205,701,252,849/215,600
  6. Step 6: Final answer
    x = 954,087.44

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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.