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Finding the Third Proportional to 301,348.69 and 466,906.78

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Solution

The third proportional to 301,348.69 and 466,906.78 is: 723,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,348.69 : 466,906.78 = 466,906.78 : x
  2. Step 2: Convert to fraction form
    301,348.69/466,906.78 = 466,906.78/x
  3. Step 3: Cross multiply
    301,348.69x = 466,906.78 × 466,906.78
  4. Step 4: Simplify right side
    301,348.69x = 218,001,942,377.24
  5. Step 5: Solve for x
    x = 218,001,942,377.24/301,348.69
  6. Step 6: Final answer
    x = 723,420.91

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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.