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Finding the Third Proportional to 492,174 and 703,806

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Solution

The third proportional to 492,174 and 703,806 is: 1,006,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,174 : 703,806 = 703,806 : x
  2. Step 2: Convert to fraction form
    492,174/703,806 = 703,806/x
  3. Step 3: Cross multiply
    492,174x = 703,806 × 703,806
  4. Step 4: Simplify right side
    492,174x = 495,342,885,636
  5. Step 5: Solve for x
    x = 495,342,885,636/492,174
  6. Step 6: Final answer
    x = 1,006,438.55

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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.