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Finding the Third Proportional to 302,721 and 468,843

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Solution

The third proportional to 302,721 and 468,843 is: 726,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,721 : 468,843 = 468,843 : x
  2. Step 2: Convert to fraction form
    302,721/468,843 = 468,843/x
  3. Step 3: Cross multiply
    302,721x = 468,843 × 468,843
  4. Step 4: Simplify right side
    302,721x = 219,813,758,649
  5. Step 5: Solve for x
    x = 219,813,758,649/302,721
  6. Step 6: Final answer
    x = 726,126.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.