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Finding the Third Proportional to 288,877.50 and 644,141.25

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Solution

The third proportional to 288,877.50 and 644,141.25 is: 1,436,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,877.50 : 644,141.25 = 644,141.25 : x
  2. Step 2: Convert to fraction form
    288,877.50/644,141.25 = 644,141.25/x
  3. Step 3: Cross multiply
    288,877.50x = 644,141.25 × 644,141.25
  4. Step 4: Simplify right side
    288,877.50x = 414,917,949,951.56
  5. Step 5: Solve for x
    x = 414,917,949,951.56/288,877.50
  6. Step 6: Final answer
    x = 1,436,311.07

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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.