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Finding the Third Proportional to 433,704.38 and 939,809.25

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Solution

The third proportional to 433,704.38 and 939,809.25 is: 2,036,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,704.38 : 939,809.25 = 939,809.25 : x
  2. Step 2: Convert to fraction form
    433,704.38/939,809.25 = 939,809.25/x
  3. Step 3: Cross multiply
    433,704.38x = 939,809.25 × 939,809.25
  4. Step 4: Simplify right side
    433,704.38x = 883,241,426,385.56
  5. Step 5: Solve for x
    x = 883,241,426,385.56/433,704.38
  6. Step 6: Final answer
    x = 2,036,505.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.