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Finding the Third Proportional to 492,195 and 703,827

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Solution

The third proportional to 492,195 and 703,827 is: 1,006,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,195 : 703,827 = 703,827 : x
  2. Step 2: Convert to fraction form
    492,195/703,827 = 703,827/x
  3. Step 3: Cross multiply
    492,195x = 703,827 × 703,827
  4. Step 4: Simplify right side
    492,195x = 495,372,445,929
  5. Step 5: Solve for x
    x = 495,372,445,929/492,195
  6. Step 6: Final answer
    x = 1,006,455.66

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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.