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Finding the Third Proportional to 334,834.50 and 790,275

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Solution

The third proportional to 334,834.50 and 790,275 is: 1,865,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,834.50 : 790,275 = 790,275 : x
  2. Step 2: Convert to fraction form
    334,834.50/790,275 = 790,275/x
  3. Step 3: Cross multiply
    334,834.50x = 790,275 × 790,275
  4. Step 4: Simplify right side
    334,834.50x = 624,534,575,625
  5. Step 5: Solve for x
    x = 624,534,575,625/334,834.50
  6. Step 6: Final answer
    x = 1,865,203.78

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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.