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Finding the Third Proportional to 214,330 and 452,960

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Solution

The third proportional to 214,330 and 452,960 is: 957,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,330 : 452,960 = 452,960 : x
  2. Step 2: Convert to fraction form
    214,330/452,960 = 452,960/x
  3. Step 3: Cross multiply
    214,330x = 452,960 × 452,960
  4. Step 4: Simplify right side
    214,330x = 205,172,761,600
  5. Step 5: Solve for x
    x = 205,172,761,600/214,330
  6. Step 6: Final answer
    x = 957,275.05

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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.