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Finding the Third Proportional to 219,714 and 472,548

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Solution

The third proportional to 219,714 and 472,548 is: 1,016,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,714 : 472,548 = 472,548 : x
  2. Step 2: Convert to fraction form
    219,714/472,548 = 472,548/x
  3. Step 3: Cross multiply
    219,714x = 472,548 × 472,548
  4. Step 4: Simplify right side
    219,714x = 223,301,612,304
  5. Step 5: Solve for x
    x = 223,301,612,304/219,714
  6. Step 6: Final answer
    x = 1,016,328.56

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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.