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Finding the Third Proportional to 214,926.75 and 447,297

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Solution

The third proportional to 214,926.75 and 447,297 is: 930,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,926.75 : 447,297 = 447,297 : x
  2. Step 2: Convert to fraction form
    214,926.75/447,297 = 447,297/x
  3. Step 3: Cross multiply
    214,926.75x = 447,297 × 447,297
  4. Step 4: Simplify right side
    214,926.75x = 200,074,606,209
  5. Step 5: Solve for x
    x = 200,074,606,209/214,926.75
  6. Step 6: Final answer
    x = 930,896.72

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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.