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Finding the Third Proportional to 433,304 and 669,626

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Solution

The third proportional to 433,304 and 669,626 is: 1,034,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,304 : 669,626 = 669,626 : x
  2. Step 2: Convert to fraction form
    433,304/669,626 = 669,626/x
  3. Step 3: Cross multiply
    433,304x = 669,626 × 669,626
  4. Step 4: Simplify right side
    433,304x = 448,398,979,876
  5. Step 5: Solve for x
    x = 448,398,979,876/433,304
  6. Step 6: Final answer
    x = 1,034,836.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.