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Finding the Third Proportional to 214,276 and 446,284

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Solution

The third proportional to 214,276 and 446,284 is: 929,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,276 : 446,284 = 446,284 : x
  2. Step 2: Convert to fraction form
    214,276/446,284 = 446,284/x
  3. Step 3: Cross multiply
    214,276x = 446,284 × 446,284
  4. Step 4: Simplify right side
    214,276x = 199,169,408,656
  5. Step 5: Solve for x
    x = 199,169,408,656/214,276
  6. Step 6: Final answer
    x = 929,499.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.