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Finding the Third Proportional to 414,041.63 and 627,274.13

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Solution

The third proportional to 414,041.63 and 627,274.13 is: 950,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,041.63 : 627,274.13 = 627,274.13 : x
  2. Step 2: Convert to fraction form
    414,041.63/627,274.13 = 627,274.13/x
  3. Step 3: Cross multiply
    414,041.63x = 627,274.13 × 627,274.13
  4. Step 4: Simplify right side
    414,041.63x = 393,472,827,894.52
  5. Step 5: Solve for x
    x = 393,472,827,894.52/414,041.63
  6. Step 6: Final answer
    x = 950,321.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.