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Finding the Third Proportional to 334,715 and 735,851.75

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Solution

The third proportional to 334,715 and 735,851.75 is: 1,617,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,715 : 735,851.75 = 735,851.75 : x
  2. Step 2: Convert to fraction form
    334,715/735,851.75 = 735,851.75/x
  3. Step 3: Cross multiply
    334,715x = 735,851.75 × 735,851.75
  4. Step 4: Simplify right side
    334,715x = 541,477,797,978.06
  5. Step 5: Solve for x
    x = 541,477,797,978.06/334,715
  6. Step 6: Final answer
    x = 1,617,727.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.