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Finding the Third Proportional to 214,444 and 458,337

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Solution

The third proportional to 214,444 and 458,337 is: 979,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,444 : 458,337 = 458,337 : x
  2. Step 2: Convert to fraction form
    214,444/458,337 = 458,337/x
  3. Step 3: Cross multiply
    214,444x = 458,337 × 458,337
  4. Step 4: Simplify right side
    214,444x = 210,072,805,569
  5. Step 5: Solve for x
    x = 210,072,805,569/214,444
  6. Step 6: Final answer
    x = 979,616.15

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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.