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Finding the Third Proportional to 262,990.13 and 575,187.75

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Solution

The third proportional to 262,990.13 and 575,187.75 is: 1,257,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,990.13 : 575,187.75 = 575,187.75 : x
  2. Step 2: Convert to fraction form
    262,990.13/575,187.75 = 575,187.75/x
  3. Step 3: Cross multiply
    262,990.13x = 575,187.75 × 575,187.75
  4. Step 4: Simplify right side
    262,990.13x = 330,840,947,750.06
  5. Step 5: Solve for x
    x = 330,840,947,750.06/262,990.13
  6. Step 6: Final answer
    x = 1,257,997.61

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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.