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Finding the Third Proportional to 368,469 and 805,626

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Solution

The third proportional to 368,469 and 805,626 is: 1,761,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,469 : 805,626 = 805,626 : x
  2. Step 2: Convert to fraction form
    368,469/805,626 = 805,626/x
  3. Step 3: Cross multiply
    368,469x = 805,626 × 805,626
  4. Step 4: Simplify right side
    368,469x = 649,033,251,876
  5. Step 5: Solve for x
    x = 649,033,251,876/368,469
  6. Step 6: Final answer
    x = 1,761,432.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.