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Finding the Third Proportional to 492,536 and 748,736

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Solution

The third proportional to 492,536 and 748,736 is: 1,138,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,536 : 748,736 = 748,736 : x
  2. Step 2: Convert to fraction form
    492,536/748,736 = 748,736/x
  3. Step 3: Cross multiply
    492,536x = 748,736 × 748,736
  4. Step 4: Simplify right side
    492,536x = 560,605,597,696
  5. Step 5: Solve for x
    x = 560,605,597,696/492,536
  6. Step 6: Final answer
    x = 1,138,202.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.