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Finding the Third Proportional to 433,990 and 657,105

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Solution

The third proportional to 433,990 and 657,105 is: 994,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,990 : 657,105 = 657,105 : x
  2. Step 2: Convert to fraction form
    433,990/657,105 = 657,105/x
  3. Step 3: Cross multiply
    433,990x = 657,105 × 657,105
  4. Step 4: Simplify right side
    433,990x = 431,786,981,025
  5. Step 5: Solve for x
    x = 431,786,981,025/433,990
  6. Step 6: Final answer
    x = 994,923.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.