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Finding the Third Proportional to 233,790 and 334,295

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Solution

The third proportional to 233,790 and 334,295 is: 478,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,790 : 334,295 = 334,295 : x
  2. Step 2: Convert to fraction form
    233,790/334,295 = 334,295/x
  3. Step 3: Cross multiply
    233,790x = 334,295 × 334,295
  4. Step 4: Simplify right side
    233,790x = 111,753,147,025
  5. Step 5: Solve for x
    x = 111,753,147,025/233,790
  6. Step 6: Final answer
    x = 478,006.53

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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.