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Finding the Third Proportional to 214,443 and 458,335

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Solution

The third proportional to 214,443 and 458,335 is: 979,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,443 : 458,335 = 458,335 : x
  2. Step 2: Convert to fraction form
    214,443/458,335 = 458,335/x
  3. Step 3: Cross multiply
    214,443x = 458,335 × 458,335
  4. Step 4: Simplify right side
    214,443x = 210,070,972,225
  5. Step 5: Solve for x
    x = 210,070,972,225/214,443
  6. Step 6: Final answer
    x = 979,612.17

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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.