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Finding the Third Proportional to 492,171 and 703,809

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Solution

The third proportional to 492,171 and 703,809 is: 1,006,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,171 : 703,809 = 703,809 : x
  2. Step 2: Convert to fraction form
    492,171/703,809 = 703,809/x
  3. Step 3: Cross multiply
    492,171x = 703,809 × 703,809
  4. Step 4: Simplify right side
    492,171x = 495,347,108,481
  5. Step 5: Solve for x
    x = 495,347,108,481/492,171
  6. Step 6: Final answer
    x = 1,006,453.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.