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Finding the Third Proportional to 219,563 and 472,414

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Solution

The third proportional to 219,563 and 472,414 is: 1,016,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,563 : 472,414 = 472,414 : x
  2. Step 2: Convert to fraction form
    219,563/472,414 = 472,414/x
  3. Step 3: Cross multiply
    219,563x = 472,414 × 472,414
  4. Step 4: Simplify right side
    219,563x = 223,174,987,396
  5. Step 5: Solve for x
    x = 223,174,987,396/219,563
  6. Step 6: Final answer
    x = 1,016,450.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.