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Finding the Third Proportional to 305,516.18 and 462,205.51

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Solution

The third proportional to 305,516.18 and 462,205.51 is: 699,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,516.18 : 462,205.51 = 462,205.51 : x
  2. Step 2: Convert to fraction form
    305,516.18/462,205.51 = 462,205.51/x
  3. Step 3: Cross multiply
    305,516.18x = 462,205.51 × 462,205.51
  4. Step 4: Simplify right side
    305,516.18x = 213,633,935,063.19
  5. Step 5: Solve for x
    x = 213,633,935,063.19/305,516.18
  6. Step 6: Final answer
    x = 699,255.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.