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Finding the Third Proportional to 469,766.63 and 726,238.69

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Solution

The third proportional to 469,766.63 and 726,238.69 is: 1,122,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,766.63 : 726,238.69 = 726,238.69 : x
  2. Step 2: Convert to fraction form
    469,766.63/726,238.69 = 726,238.69/x
  3. Step 3: Cross multiply
    469,766.63x = 726,238.69 × 726,238.69
  4. Step 4: Simplify right side
    469,766.63x = 527,422,631,221.72
  5. Step 5: Solve for x
    x = 527,422,631,221.72/469,766.63
  6. Step 6: Final answer
    x = 1,122,733.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.