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Finding the Third Proportional to 414,299.81 and 627,053.91

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Solution

The third proportional to 414,299.81 and 627,053.91 is: 949,062.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,299.81 : 627,053.91 = 627,053.91 : x
  2. Step 2: Convert to fraction form
    414,299.81/627,053.91 = 627,053.91/x
  3. Step 3: Cross multiply
    414,299.81x = 627,053.91 × 627,053.91
  4. Step 4: Simplify right side
    414,299.81x = 393,196,601,343.38
  5. Step 5: Solve for x
    x = 393,196,601,343.38/414,299.81
  6. Step 6: Final answer
    x = 949,062.95

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Why These Related Problems?

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