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Finding the Third Proportional to 414,026.72 and 623,113.17

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Solution

The third proportional to 414,026.72 and 623,113.17 is: 937,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,026.72 : 623,113.17 = 623,113.17 : x
  2. Step 2: Convert to fraction form
    414,026.72/623,113.17 = 623,113.17/x
  3. Step 3: Cross multiply
    414,026.72x = 623,113.17 × 623,113.17
  4. Step 4: Simplify right side
    414,026.72x = 388,270,024,964.12
  5. Step 5: Solve for x
    x = 388,270,024,964.12/414,026.72
  6. Step 6: Final answer
    x = 937,789.78

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