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Finding the Third Proportional to 209,670.75 and 452,538.56

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Solution

The third proportional to 209,670.75 and 452,538.56 is: 976,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,670.75 : 452,538.56 = 452,538.56 : x
  2. Step 2: Convert to fraction form
    209,670.75/452,538.56 = 452,538.56/x
  3. Step 3: Cross multiply
    209,670.75x = 452,538.56 × 452,538.56
  4. Step 4: Simplify right side
    209,670.75x = 204,791,150,549.57
  5. Step 5: Solve for x
    x = 204,791,150,549.57/209,670.75
  6. Step 6: Final answer
    x = 976,727.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.