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Finding the Third Proportional to 214,446 and 458,341

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Solution

The third proportional to 214,446 and 458,341 is: 979,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,446 : 458,341 = 458,341 : x
  2. Step 2: Convert to fraction form
    214,446/458,341 = 458,341/x
  3. Step 3: Cross multiply
    214,446x = 458,341 × 458,341
  4. Step 4: Simplify right side
    214,446x = 210,076,472,281
  5. Step 5: Solve for x
    x = 210,076,472,281/214,446
  6. Step 6: Final answer
    x = 979,624.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.