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Finding the Third Proportional to 644,161 and 947,297.50

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Solution

The third proportional to 644,161 and 947,297.50 is: 1,393,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,161 : 947,297.50 = 947,297.50 : x
  2. Step 2: Convert to fraction form
    644,161/947,297.50 = 947,297.50/x
  3. Step 3: Cross multiply
    644,161x = 947,297.50 × 947,297.50
  4. Step 4: Simplify right side
    644,161x = 897,372,553,506.25
  5. Step 5: Solve for x
    x = 897,372,553,506.25/644,161
  6. Step 6: Final answer
    x = 1,393,087.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.