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Finding the Third Proportional to 462,634 and 693,957

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Solution

The third proportional to 462,634 and 693,957 is: 1,040,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,634 : 693,957 = 693,957 : x
  2. Step 2: Convert to fraction form
    462,634/693,957 = 693,957/x
  3. Step 3: Cross multiply
    462,634x = 693,957 × 693,957
  4. Step 4: Simplify right side
    462,634x = 481,576,317,849
  5. Step 5: Solve for x
    x = 481,576,317,849/462,634
  6. Step 6: Final answer
    x = 1,040,944.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.