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Finding the Third Proportional to 204,292 and 433,640

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Solution

The third proportional to 204,292 and 433,640 is: 920,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,292 : 433,640 = 433,640 : x
  2. Step 2: Convert to fraction form
    204,292/433,640 = 433,640/x
  3. Step 3: Cross multiply
    204,292x = 433,640 × 433,640
  4. Step 4: Simplify right side
    204,292x = 188,043,649,600
  5. Step 5: Solve for x
    x = 188,043,649,600/204,292
  6. Step 6: Final answer
    x = 920,465.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.