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Finding the Third Proportional to 805,095.75 and 1,203,512.25

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Solution

The third proportional to 805,095.75 and 1,203,512.25 is: 1,799,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,095.75 : 1,203,512.25 = 1,203,512.25 : x
  2. Step 2: Convert to fraction form
    805,095.75/1,203,512.25 = 1,203,512.25/x
  3. Step 3: Cross multiply
    805,095.75x = 1,203,512.25 × 1,203,512.25
  4. Step 4: Simplify right side
    805,095.75x = 1,448,441,735,900.06
  5. Step 5: Solve for x
    x = 1,448,441,735,900.06/805,095.75
  6. Step 6: Final answer
    x = 1,799,092.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.