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Finding the Third Proportional to 485,622 and 760,110

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Solution

The third proportional to 485,622 and 760,110 is: 1,189,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,622 : 760,110 = 760,110 : x
  2. Step 2: Convert to fraction form
    485,622/760,110 = 760,110/x
  3. Step 3: Cross multiply
    485,622x = 760,110 × 760,110
  4. Step 4: Simplify right side
    485,622x = 577,767,212,100
  5. Step 5: Solve for x
    x = 577,767,212,100/485,622
  6. Step 6: Final answer
    x = 1,189,746.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.