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Finding the Third Proportional to 305,291 and 447,001

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Solution

The third proportional to 305,291 and 447,001 is: 654,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,291 : 447,001 = 447,001 : x
  2. Step 2: Convert to fraction form
    305,291/447,001 = 447,001/x
  3. Step 3: Cross multiply
    305,291x = 447,001 × 447,001
  4. Step 4: Simplify right side
    305,291x = 199,809,894,001
  5. Step 5: Solve for x
    x = 199,809,894,001/305,291
  6. Step 6: Final answer
    x = 654,489.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.