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Finding the Third Proportional to 217,441 and 440,725

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Solution

The third proportional to 217,441 and 440,725 is: 893,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,441 : 440,725 = 440,725 : x
  2. Step 2: Convert to fraction form
    217,441/440,725 = 440,725/x
  3. Step 3: Cross multiply
    217,441x = 440,725 × 440,725
  4. Step 4: Simplify right side
    217,441x = 194,238,525,625
  5. Step 5: Solve for x
    x = 194,238,525,625/217,441
  6. Step 6: Final answer
    x = 893,293.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.