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Finding the Third Proportional to 576,450.56 and 821,164.50

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Solution

The third proportional to 576,450.56 and 821,164.50 is: 1,169,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,450.56 : 821,164.50 = 821,164.50 : x
  2. Step 2: Convert to fraction form
    576,450.56/821,164.50 = 821,164.50/x
  3. Step 3: Cross multiply
    576,450.56x = 821,164.50 × 821,164.50
  4. Step 4: Simplify right side
    576,450.56x = 674,311,136,060.25
  5. Step 5: Solve for x
    x = 674,311,136,060.25/576,450.56
  6. Step 6: Final answer
    x = 1,169,764.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.