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Finding the Third Proportional to 492,164 and 703,794

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Solution

The third proportional to 492,164 and 703,794 is: 1,006,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,164 : 703,794 = 703,794 : x
  2. Step 2: Convert to fraction form
    492,164/703,794 = 703,794/x
  3. Step 3: Cross multiply
    492,164x = 703,794 × 703,794
  4. Step 4: Simplify right side
    492,164x = 495,325,994,436
  5. Step 5: Solve for x
    x = 495,325,994,436/492,164
  6. Step 6: Final answer
    x = 1,006,424.68

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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.