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Finding the Third Proportional to 214,864 and 455,341

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Solution

The third proportional to 214,864 and 455,341 is: 964,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,864 : 455,341 = 455,341 : x
  2. Step 2: Convert to fraction form
    214,864/455,341 = 455,341/x
  3. Step 3: Cross multiply
    214,864x = 455,341 × 455,341
  4. Step 4: Simplify right side
    214,864x = 207,335,426,281
  5. Step 5: Solve for x
    x = 207,335,426,281/214,864
  6. Step 6: Final answer
    x = 964,961.21

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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.