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Finding the Third Proportional to 414,308.25 and 627,064.88

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Solution

The third proportional to 414,308.25 and 627,064.88 is: 949,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,308.25 : 627,064.88 = 627,064.88 : x
  2. Step 2: Convert to fraction form
    414,308.25/627,064.88 = 627,064.88/x
  3. Step 3: Cross multiply
    414,308.25x = 627,064.88 × 627,064.88
  4. Step 4: Simplify right side
    414,308.25x = 393,210,357,458.77
  5. Step 5: Solve for x
    x = 393,210,357,458.77/414,308.25
  6. Step 6: Final answer
    x = 949,076.82

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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.