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Finding the Third Proportional to 233,790 and 334,296

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Solution

The third proportional to 233,790 and 334,296 is: 478,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,790 : 334,296 = 334,296 : x
  2. Step 2: Convert to fraction form
    233,790/334,296 = 334,296/x
  3. Step 3: Cross multiply
    233,790x = 334,296 × 334,296
  4. Step 4: Simplify right side
    233,790x = 111,753,815,616
  5. Step 5: Solve for x
    x = 111,753,815,616/233,790
  6. Step 6: Final answer
    x = 478,009.39

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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.