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Finding the Third Proportional to 288,876.75 and 644,138.06

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Solution

The third proportional to 288,876.75 and 644,138.06 is: 1,436,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,876.75 : 644,138.06 = 644,138.06 : x
  2. Step 2: Convert to fraction form
    288,876.75/644,138.06 = 644,138.06/x
  3. Step 3: Cross multiply
    288,876.75x = 644,138.06 × 644,138.06
  4. Step 4: Simplify right side
    288,876.75x = 414,913,843,561.25
  5. Step 5: Solve for x
    x = 414,913,843,561.25/288,876.75
  6. Step 6: Final answer
    x = 1,436,300.58

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.