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Finding the Third Proportional to 207,430.88 and 451,296.56

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Solution

The third proportional to 207,430.88 and 451,296.56 is: 981,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,430.88 : 451,296.56 = 451,296.56 : x
  2. Step 2: Convert to fraction form
    207,430.88/451,296.56 = 451,296.56/x
  3. Step 3: Cross multiply
    207,430.88x = 451,296.56 × 451,296.56
  4. Step 4: Simplify right side
    207,430.88x = 203,668,587,324.32
  5. Step 5: Solve for x
    x = 203,668,587,324.32/207,430.88
  6. Step 6: Final answer
    x = 981,862.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.