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Finding the Third Proportional to 201,491 and 441,190

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Solution

The third proportional to 201,491 and 441,190 is: 966,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,491 : 441,190 = 441,190 : x
  2. Step 2: Convert to fraction form
    201,491/441,190 = 441,190/x
  3. Step 3: Cross multiply
    201,491x = 441,190 × 441,190
  4. Step 4: Simplify right side
    201,491x = 194,648,616,100
  5. Step 5: Solve for x
    x = 194,648,616,100/201,491
  6. Step 6: Final answer
    x = 966,041.24

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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.