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Finding the Third Proportional to 201,986 and 439,441

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Solution

The third proportional to 201,986 and 439,441 is: 956,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,986 : 439,441 = 439,441 : x
  2. Step 2: Convert to fraction form
    201,986/439,441 = 439,441/x
  3. Step 3: Cross multiply
    201,986x = 439,441 × 439,441
  4. Step 4: Simplify right side
    201,986x = 193,108,392,481
  5. Step 5: Solve for x
    x = 193,108,392,481/201,986
  6. Step 6: Final answer
    x = 956,048.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.