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Finding the Third Proportional to 334,830.75 and 790,265.63

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Solution

The third proportional to 334,830.75 and 790,265.63 is: 1,865,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,830.75 : 790,265.63 = 790,265.63 : x
  2. Step 2: Convert to fraction form
    334,830.75/790,265.63 = 790,265.63/x
  3. Step 3: Cross multiply
    334,830.75x = 790,265.63 × 790,265.63
  4. Step 4: Simplify right side
    334,830.75x = 624,519,758,056.64
  5. Step 5: Solve for x
    x = 624,519,758,056.64/334,830.75
  6. Step 6: Final answer
    x = 1,865,180.42

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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.