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Finding the Third Proportional to 486,192 and 735,996

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Solution

The third proportional to 486,192 and 735,996 is: 1,114,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,192 : 735,996 = 735,996 : x
  2. Step 2: Convert to fraction form
    486,192/735,996 = 735,996/x
  3. Step 3: Cross multiply
    486,192x = 735,996 × 735,996
  4. Step 4: Simplify right side
    486,192x = 541,690,112,016
  5. Step 5: Solve for x
    x = 541,690,112,016/486,192
  6. Step 6: Final answer
    x = 1,114,148.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.