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Finding the Third Proportional to 334,849 and 790,295

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Solution

The third proportional to 334,849 and 790,295 is: 1,865,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,849 : 790,295 = 790,295 : x
  2. Step 2: Convert to fraction form
    334,849/790,295 = 790,295/x
  3. Step 3: Cross multiply
    334,849x = 790,295 × 790,295
  4. Step 4: Simplify right side
    334,849x = 624,566,187,025
  5. Step 5: Solve for x
    x = 624,566,187,025/334,849
  6. Step 6: Final answer
    x = 1,865,217.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.