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Finding the Third Proportional to 501,595,436.25 and 774,758,550.38

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Solution

The third proportional to 501,595,436.25 and 774,758,550.38 is: 1,196,683,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,595,436.25 : 774,758,550.38 = 774,758,550.38 : x
  2. Step 2: Convert to fraction form
    501,595,436.25/774,758,550.38 = 774,758,550.38/x
  3. Step 3: Cross multiply
    501,595,436.25x = 774,758,550.38 × 774,758,550.38
  4. Step 4: Simplify right side
    501,595,436.25x = 600,250,811,379,171,456
  5. Step 5: Solve for x
    x = 600,250,811,379,171,456/501,595,436.25
  6. Step 6: Final answer
    x = 1,196,683,159.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.