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Finding the Third Proportional to 493,060.50 and 744,923.25

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Solution

The third proportional to 493,060.50 and 744,923.25 is: 1,125,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,060.50 : 744,923.25 = 744,923.25 : x
  2. Step 2: Convert to fraction form
    493,060.50/744,923.25 = 744,923.25/x
  3. Step 3: Cross multiply
    493,060.50x = 744,923.25 × 744,923.25
  4. Step 4: Simplify right side
    493,060.50x = 554,910,648,390.56
  5. Step 5: Solve for x
    x = 554,910,648,390.56/493,060.50
  6. Step 6: Final answer
    x = 1,125,441.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.