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Finding the Third Proportional to 333,292 and 476,268

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Solution

The third proportional to 333,292 and 476,268 is: 680,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,292 : 476,268 = 476,268 : x
  2. Step 2: Convert to fraction form
    333,292/476,268 = 476,268/x
  3. Step 3: Cross multiply
    333,292x = 476,268 × 476,268
  4. Step 4: Simplify right side
    333,292x = 226,831,207,824
  5. Step 5: Solve for x
    x = 226,831,207,824/333,292
  6. Step 6: Final answer
    x = 680,578.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.