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Finding the Third Proportional to 215,611 and 453,564

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Solution

The third proportional to 215,611 and 453,564 is: 954,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,611 : 453,564 = 453,564 : x
  2. Step 2: Convert to fraction form
    215,611/453,564 = 453,564/x
  3. Step 3: Cross multiply
    215,611x = 453,564 × 453,564
  4. Step 4: Simplify right side
    215,611x = 205,720,302,096
  5. Step 5: Solve for x
    x = 205,720,302,096/215,611
  6. Step 6: Final answer
    x = 954,127.12

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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.