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Finding the Third Proportional to 433,314.56 and 966,205.97

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Solution

The third proportional to 433,314.56 and 966,205.97 is: 2,154,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,314.56 : 966,205.97 = 966,205.97 : x
  2. Step 2: Convert to fraction form
    433,314.56/966,205.97 = 966,205.97/x
  3. Step 3: Cross multiply
    433,314.56x = 966,205.97 × 966,205.97
  4. Step 4: Simplify right side
    433,314.56x = 933,553,974,048.13
  5. Step 5: Solve for x
    x = 933,553,974,048.13/433,314.56
  6. Step 6: Final answer
    x = 2,154,448.65

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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.