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Finding the Third Proportional to 288,967.50 and 444,703.50

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Solution

The third proportional to 288,967.50 and 444,703.50 is: 684,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,967.50 : 444,703.50 = 444,703.50 : x
  2. Step 2: Convert to fraction form
    288,967.50/444,703.50 = 444,703.50/x
  3. Step 3: Cross multiply
    288,967.50x = 444,703.50 × 444,703.50
  4. Step 4: Simplify right side
    288,967.50x = 197,761,202,912.25
  5. Step 5: Solve for x
    x = 197,761,202,912.25/288,967.50
  6. Step 6: Final answer
    x = 684,371.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.