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Finding the Third Proportional to 204,537 and 441,738

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Solution

The third proportional to 204,537 and 441,738 is: 954,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,537 : 441,738 = 441,738 : x
  2. Step 2: Convert to fraction form
    204,537/441,738 = 441,738/x
  3. Step 3: Cross multiply
    204,537x = 441,738 × 441,738
  4. Step 4: Simplify right side
    204,537x = 195,132,460,644
  5. Step 5: Solve for x
    x = 195,132,460,644/204,537
  6. Step 6: Final answer
    x = 954,020.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.