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Finding the Third Proportional to 658,296 and 962,496

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Solution

The third proportional to 658,296 and 962,496 is: 1,407,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,296 : 962,496 = 962,496 : x
  2. Step 2: Convert to fraction form
    658,296/962,496 = 962,496/x
  3. Step 3: Cross multiply
    658,296x = 962,496 × 962,496
  4. Step 4: Simplify right side
    658,296x = 926,398,550,016
  5. Step 5: Solve for x
    x = 926,398,550,016/658,296
  6. Step 6: Final answer
    x = 1,407,267.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.