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Finding the Third Proportional to 414,304 and 627,059

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Solution

The third proportional to 414,304 and 627,059 is: 949,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,304 : 627,059 = 627,059 : x
  2. Step 2: Convert to fraction form
    414,304/627,059 = 627,059/x
  3. Step 3: Cross multiply
    414,304x = 627,059 × 627,059
  4. Step 4: Simplify right side
    414,304x = 393,202,989,481
  5. Step 5: Solve for x
    x = 393,202,989,481/414,304
  6. Step 6: Final answer
    x = 949,068.77

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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.