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Finding the Third Proportional to 433,746 and 667,530

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Solution

The third proportional to 433,746 and 667,530 is: 1,027,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,746 : 667,530 = 667,530 : x
  2. Step 2: Convert to fraction form
    433,746/667,530 = 667,530/x
  3. Step 3: Cross multiply
    433,746x = 667,530 × 667,530
  4. Step 4: Simplify right side
    433,746x = 445,596,300,900
  5. Step 5: Solve for x
    x = 445,596,300,900/433,746
  6. Step 6: Final answer
    x = 1,027,320.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.