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Finding the Third Proportional to 214,308 and 452,472

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Solution

The third proportional to 214,308 and 452,472 is: 955,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,308 : 452,472 = 452,472 : x
  2. Step 2: Convert to fraction form
    214,308/452,472 = 452,472/x
  3. Step 3: Cross multiply
    214,308x = 452,472 × 452,472
  4. Step 4: Simplify right side
    214,308x = 204,730,910,784
  5. Step 5: Solve for x
    x = 204,730,910,784/214,308
  6. Step 6: Final answer
    x = 955,311.56

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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.