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Finding the Third Proportional to 414,302.50 and 627,058

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Solution

The third proportional to 414,302.50 and 627,058 is: 949,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,302.50 : 627,058 = 627,058 : x
  2. Step 2: Convert to fraction form
    414,302.50/627,058 = 627,058/x
  3. Step 3: Cross multiply
    414,302.50x = 627,058 × 627,058
  4. Step 4: Simplify right side
    414,302.50x = 393,201,735,364
  5. Step 5: Solve for x
    x = 393,201,735,364/414,302.50
  6. Step 6: Final answer
    x = 949,069.18

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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.