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Finding the Third Proportional to 303,923 and 661,359

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Solution

The third proportional to 303,923 and 661,359 is: 1,439,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,923 : 661,359 = 661,359 : x
  2. Step 2: Convert to fraction form
    303,923/661,359 = 661,359/x
  3. Step 3: Cross multiply
    303,923x = 661,359 × 661,359
  4. Step 4: Simplify right side
    303,923x = 437,395,726,881
  5. Step 5: Solve for x
    x = 437,395,726,881/303,923
  6. Step 6: Final answer
    x = 1,439,166.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.