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Finding the Third Proportional to 485,622 and 731,673

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Solution

The third proportional to 485,622 and 731,673 is: 1,102,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,622 : 731,673 = 731,673 : x
  2. Step 2: Convert to fraction form
    485,622/731,673 = 731,673/x
  3. Step 3: Cross multiply
    485,622x = 731,673 × 731,673
  4. Step 4: Simplify right side
    485,622x = 535,345,378,929
  5. Step 5: Solve for x
    x = 535,345,378,929/485,622
  6. Step 6: Final answer
    x = 1,102,391.12

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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.