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Finding the Third Proportional to 414,063 and 627,304.50

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Solution

The third proportional to 414,063 and 627,304.50 is: 950,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,063 : 627,304.50 = 627,304.50 : x
  2. Step 2: Convert to fraction form
    414,063/627,304.50 = 627,304.50/x
  3. Step 3: Cross multiply
    414,063x = 627,304.50 × 627,304.50
  4. Step 4: Simplify right side
    414,063x = 393,510,935,720.25
  5. Step 5: Solve for x
    x = 393,510,935,720.25/414,063
  6. Step 6: Final answer
    x = 950,364.89

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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.