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Finding the Third Proportional to 214,944.47 and 455,491.69

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Solution

The third proportional to 214,944.47 and 455,491.69 is: 965,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,944.47 : 455,491.69 = 455,491.69 : x
  2. Step 2: Convert to fraction form
    214,944.47/455,491.69 = 455,491.69/x
  3. Step 3: Cross multiply
    214,944.47x = 455,491.69 × 455,491.69
  4. Step 4: Simplify right side
    214,944.47x = 207,472,677,381.60
  5. Step 5: Solve for x
    x = 207,472,677,381.60/214,944.47
  6. Step 6: Final answer
    x = 965,238.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.