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Finding the Third Proportional to 214,458 and 453,108

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Solution

The third proportional to 214,458 and 453,108 is: 957,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,458 : 453,108 = 453,108 : x
  2. Step 2: Convert to fraction form
    214,458/453,108 = 453,108/x
  3. Step 3: Cross multiply
    214,458x = 453,108 × 453,108
  4. Step 4: Simplify right side
    214,458x = 205,306,859,664
  5. Step 5: Solve for x
    x = 205,306,859,664/214,458
  6. Step 6: Final answer
    x = 957,328.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.