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Finding the Third Proportional to 204,627 and 446,422

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Solution

The third proportional to 204,627 and 446,422 is: 973,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,627 : 446,422 = 446,422 : x
  2. Step 2: Convert to fraction form
    204,627/446,422 = 446,422/x
  3. Step 3: Cross multiply
    204,627x = 446,422 × 446,422
  4. Step 4: Simplify right side
    204,627x = 199,292,602,084
  5. Step 5: Solve for x
    x = 199,292,602,084/204,627
  6. Step 6: Final answer
    x = 973,931.11

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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.