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Finding the Third Proportional to 209,651.34 and 460,488.66

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Solution

The third proportional to 209,651.34 and 460,488.66 is: 1,011,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,651.34 : 460,488.66 = 460,488.66 : x
  2. Step 2: Convert to fraction form
    209,651.34/460,488.66 = 460,488.66/x
  3. Step 3: Cross multiply
    209,651.34x = 460,488.66 × 460,488.66
  4. Step 4: Simplify right side
    209,651.34x = 212,049,802,534.93
  5. Step 5: Solve for x
    x = 212,049,802,534.93/209,651.34
  6. Step 6: Final answer
    x = 1,011,440.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.