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Finding the Third Proportional to 265,454.09 and 575,194.92

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Solution

The third proportional to 265,454.09 and 575,194.92 is: 1,246,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,454.09 : 575,194.92 = 575,194.92 : x
  2. Step 2: Convert to fraction form
    265,454.09/575,194.92 = 575,194.92/x
  3. Step 3: Cross multiply
    265,454.09x = 575,194.92 × 575,194.92
  4. Step 4: Simplify right side
    265,454.09x = 330,849,198,150.79
  5. Step 5: Solve for x
    x = 330,849,198,150.79/265,454.09
  6. Step 6: Final answer
    x = 1,246,351.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.