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Finding the Third Proportional to 485,462 and 753,753

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Solution

The third proportional to 485,462 and 753,753 is: 1,170,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,462 : 753,753 = 753,753 : x
  2. Step 2: Convert to fraction form
    485,462/753,753 = 753,753/x
  3. Step 3: Cross multiply
    485,462x = 753,753 × 753,753
  4. Step 4: Simplify right side
    485,462x = 568,143,585,009
  5. Step 5: Solve for x
    x = 568,143,585,009/485,462
  6. Step 6: Final answer
    x = 1,170,315.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.