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Finding the Third Proportional to 492,158 and 703,781

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Solution

The third proportional to 492,158 and 703,781 is: 1,006,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,158 : 703,781 = 703,781 : x
  2. Step 2: Convert to fraction form
    492,158/703,781 = 703,781/x
  3. Step 3: Cross multiply
    492,158x = 703,781 × 703,781
  4. Step 4: Simplify right side
    492,158x = 495,307,695,961
  5. Step 5: Solve for x
    x = 495,307,695,961/492,158
  6. Step 6: Final answer
    x = 1,006,399.77

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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.