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Finding the Third Proportional to 358,006.50 and 773,847

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Solution

The third proportional to 358,006.50 and 773,847 is: 1,672,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,006.50 : 773,847 = 773,847 : x
  2. Step 2: Convert to fraction form
    358,006.50/773,847 = 773,847/x
  3. Step 3: Cross multiply
    358,006.50x = 773,847 × 773,847
  4. Step 4: Simplify right side
    358,006.50x = 598,839,179,409
  5. Step 5: Solve for x
    x = 598,839,179,409/358,006.50
  6. Step 6: Final answer
    x = 1,672,704.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.