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Finding the Third Proportional to 201,484 and 441,176

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Solution

The third proportional to 201,484 and 441,176 is: 966,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,484 : 441,176 = 441,176 : x
  2. Step 2: Convert to fraction form
    201,484/441,176 = 441,176/x
  3. Step 3: Cross multiply
    201,484x = 441,176 × 441,176
  4. Step 4: Simplify right side
    201,484x = 194,636,262,976
  5. Step 5: Solve for x
    x = 194,636,262,976/201,484
  6. Step 6: Final answer
    x = 966,013.49

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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.