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Finding the Third Proportional to 485,488 and 743,016

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Solution

The third proportional to 485,488 and 743,016 is: 1,137,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,488 : 743,016 = 743,016 : x
  2. Step 2: Convert to fraction form
    485,488/743,016 = 743,016/x
  3. Step 3: Cross multiply
    485,488x = 743,016 × 743,016
  4. Step 4: Simplify right side
    485,488x = 552,072,776,256
  5. Step 5: Solve for x
    x = 552,072,776,256/485,488
  6. Step 6: Final answer
    x = 1,137,150.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.