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Finding the Third Proportional to 644,289.75 and 1,333,174.50

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Solution

The third proportional to 644,289.75 and 1,333,174.50 is: 2,758,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,289.75 : 1,333,174.50 = 1,333,174.50 : x
  2. Step 2: Convert to fraction form
    644,289.75/1,333,174.50 = 1,333,174.50/x
  3. Step 3: Cross multiply
    644,289.75x = 1,333,174.50 × 1,333,174.50
  4. Step 4: Simplify right side
    644,289.75x = 1,777,354,247,450.25
  5. Step 5: Solve for x
    x = 1,777,354,247,450.25/644,289.75
  6. Step 6: Final answer
    x = 2,758,625.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.