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Finding the Third Proportional to 219,393 and 474,768

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Solution

The third proportional to 219,393 and 474,768 is: 1,027,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,393 : 474,768 = 474,768 : x
  2. Step 2: Convert to fraction form
    219,393/474,768 = 474,768/x
  3. Step 3: Cross multiply
    219,393x = 474,768 × 474,768
  4. Step 4: Simplify right side
    219,393x = 225,404,653,824
  5. Step 5: Solve for x
    x = 225,404,653,824/219,393
  6. Step 6: Final answer
    x = 1,027,401.30

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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.