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Finding the Third Proportional to 218,514 and 472,020

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Solution

The third proportional to 218,514 and 472,020 is: 1,019,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,514 : 472,020 = 472,020 : x
  2. Step 2: Convert to fraction form
    218,514/472,020 = 472,020/x
  3. Step 3: Cross multiply
    218,514x = 472,020 × 472,020
  4. Step 4: Simplify right side
    218,514x = 222,802,880,400
  5. Step 5: Solve for x
    x = 222,802,880,400/218,514
  6. Step 6: Final answer
    x = 1,019,627.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.