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Finding the Third Proportional to 302,419,552.50 and 475,192,876.50

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Solution

The third proportional to 302,419,552.50 and 475,192,876.50 is: 746,672,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,419,552.50 : 475,192,876.50 = 475,192,876.50 : x
  2. Step 2: Convert to fraction form
    302,419,552.50/475,192,876.50 = 475,192,876.50/x
  3. Step 3: Cross multiply
    302,419,552.50x = 475,192,876.50 × 475,192,876.50
  4. Step 4: Simplify right side
    302,419,552.50x = 225,808,269,876,344,256
  5. Step 5: Solve for x
    x = 225,808,269,876,344,256/302,419,552.50
  6. Step 6: Final answer
    x = 746,672,191.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.