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Finding the Third Proportional to 219,576 and 472,452

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Solution

The third proportional to 219,576 and 472,452 is: 1,016,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,576 : 472,452 = 472,452 : x
  2. Step 2: Convert to fraction form
    219,576/472,452 = 472,452/x
  3. Step 3: Cross multiply
    219,576x = 472,452 × 472,452
  4. Step 4: Simplify right side
    219,576x = 223,210,892,304
  5. Step 5: Solve for x
    x = 223,210,892,304/219,576
  6. Step 6: Final answer
    x = 1,016,554.14

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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.