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Finding the Third Proportional to 215,589 and 453,524

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Solution

The third proportional to 215,589 and 453,524 is: 954,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,589 : 453,524 = 453,524 : x
  2. Step 2: Convert to fraction form
    215,589/453,524 = 453,524/x
  3. Step 3: Cross multiply
    215,589x = 453,524 × 453,524
  4. Step 4: Simplify right side
    215,589x = 205,684,018,576
  5. Step 5: Solve for x
    x = 205,684,018,576/215,589
  6. Step 6: Final answer
    x = 954,056.18

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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.