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Finding the Third Proportional to 433,324.25 and 966,225.25

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Solution

The third proportional to 433,324.25 and 966,225.25 is: 2,154,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,324.25 : 966,225.25 = 966,225.25 : x
  2. Step 2: Convert to fraction form
    433,324.25/966,225.25 = 966,225.25/x
  3. Step 3: Cross multiply
    433,324.25x = 966,225.25 × 966,225.25
  4. Step 4: Simplify right side
    433,324.25x = 933,591,233,737.56
  5. Step 5: Solve for x
    x = 933,591,233,737.56/433,324.25
  6. Step 6: Final answer
    x = 2,154,486.47

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Why These Related Problems?

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