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Finding the Third Proportional to 293,976 and 644,002.50

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Solution

The third proportional to 293,976 and 644,002.50 is: 1,410,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,976 : 644,002.50 = 644,002.50 : x
  2. Step 2: Convert to fraction form
    293,976/644,002.50 = 644,002.50/x
  3. Step 3: Cross multiply
    293,976x = 644,002.50 × 644,002.50
  4. Step 4: Simplify right side
    293,976x = 414,739,220,006.25
  5. Step 5: Solve for x
    x = 414,739,220,006.25/293,976
  6. Step 6: Final answer
    x = 1,410,792.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.