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Finding the Third Proportional to 201,684 and 440,046

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Solution

The third proportional to 201,684 and 440,046 is: 960,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,684 : 440,046 = 440,046 : x
  2. Step 2: Convert to fraction form
    201,684/440,046 = 440,046/x
  3. Step 3: Cross multiply
    201,684x = 440,046 × 440,046
  4. Step 4: Simplify right side
    201,684x = 193,640,482,116
  5. Step 5: Solve for x
    x = 193,640,482,116/201,684
  6. Step 6: Final answer
    x = 960,118.22

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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.