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Finding the Third Proportional to 201,488 and 441,184

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Solution

The third proportional to 201,488 and 441,184 is: 966,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,488 : 441,184 = 441,184 : x
  2. Step 2: Convert to fraction form
    201,488/441,184 = 441,184/x
  3. Step 3: Cross multiply
    201,488x = 441,184 × 441,184
  4. Step 4: Simplify right side
    201,488x = 194,643,321,856
  5. Step 5: Solve for x
    x = 194,643,321,856/201,488
  6. Step 6: Final answer
    x = 966,029.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.