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Finding the Third Proportional to 254,724.75 and 553,668.75

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Solution

The third proportional to 254,724.75 and 553,668.75 is: 1,203,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,724.75 : 553,668.75 = 553,668.75 : x
  2. Step 2: Convert to fraction form
    254,724.75/553,668.75 = 553,668.75/x
  3. Step 3: Cross multiply
    254,724.75x = 553,668.75 × 553,668.75
  4. Step 4: Simplify right side
    254,724.75x = 306,549,084,726.56
  5. Step 5: Solve for x
    x = 306,549,084,726.56/254,724.75
  6. Step 6: Final answer
    x = 1,203,452.29

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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.