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Finding the Third Proportional to 204,076 and 437,678

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Solution

The third proportional to 204,076 and 437,678 is: 938,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,076 : 437,678 = 437,678 : x
  2. Step 2: Convert to fraction form
    204,076/437,678 = 437,678/x
  3. Step 3: Cross multiply
    204,076x = 437,678 × 437,678
  4. Step 4: Simplify right side
    204,076x = 191,562,031,684
  5. Step 5: Solve for x
    x = 191,562,031,684/204,076
  6. Step 6: Final answer
    x = 938,679.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.