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Finding the Third Proportional to 395,944,240.50 and 599,012,472.38

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Solution

The third proportional to 395,944,240.50 and 599,012,472.38 is: 906,228,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,944,240.50 : 599,012,472.38 = 599,012,472.38 : x
  2. Step 2: Convert to fraction form
    395,944,240.50/599,012,472.38 = 599,012,472.38/x
  3. Step 3: Cross multiply
    395,944,240.50x = 599,012,472.38 × 599,012,472.38
  4. Step 4: Simplify right side
    395,944,240.50x = 358,815,942,060,810,112
  5. Step 5: Solve for x
    x = 358,815,942,060,810,112/395,944,240.50
  6. Step 6: Final answer
    x = 906,228,466.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.