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Finding the Third Proportional to 217,743.40 and 468,855.63

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Solution

The third proportional to 217,743.40 and 468,855.63 is: 1,009,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,743.40 : 468,855.63 = 468,855.63 : x
  2. Step 2: Convert to fraction form
    217,743.40/468,855.63 = 468,855.63/x
  3. Step 3: Cross multiply
    217,743.40x = 468,855.63 × 468,855.63
  4. Step 4: Simplify right side
    217,743.40x = 219,825,604,420.01
  5. Step 5: Solve for x
    x = 219,825,604,420.01/217,743.40
  6. Step 6: Final answer
    x = 1,009,562.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.