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Finding the Third Proportional to 414,314 and 627,072

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Solution

The third proportional to 414,314 and 627,072 is: 949,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,314 : 627,072 = 627,072 : x
  2. Step 2: Convert to fraction form
    414,314/627,072 = 627,072/x
  3. Step 3: Cross multiply
    414,314x = 627,072 × 627,072
  4. Step 4: Simplify right side
    414,314x = 393,219,293,184
  5. Step 5: Solve for x
    x = 393,219,293,184/414,314
  6. Step 6: Final answer
    x = 949,085.22

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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.