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Finding the Third Proportional to 477,738 and 690,606

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Solution

The third proportional to 477,738 and 690,606 is: 998,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,738 : 690,606 = 690,606 : x
  2. Step 2: Convert to fraction form
    477,738/690,606 = 690,606/x
  3. Step 3: Cross multiply
    477,738x = 690,606 × 690,606
  4. Step 4: Simplify right side
    477,738x = 476,936,647,236
  5. Step 5: Solve for x
    x = 476,936,647,236/477,738
  6. Step 6: Final answer
    x = 998,322.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.