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Finding the Third Proportional to 429,712.50 and 936,456

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Solution

The third proportional to 429,712.50 and 936,456 is: 2,040,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,712.50 : 936,456 = 936,456 : x
  2. Step 2: Convert to fraction form
    429,712.50/936,456 = 936,456/x
  3. Step 3: Cross multiply
    429,712.50x = 936,456 × 936,456
  4. Step 4: Simplify right side
    429,712.50x = 876,949,839,936
  5. Step 5: Solve for x
    x = 876,949,839,936/429,712.50
  6. Step 6: Final answer
    x = 2,040,782.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.