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Finding the Third Proportional to 334,077.75 and 728,455.50

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Solution

The third proportional to 334,077.75 and 728,455.50 is: 1,588,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,077.75 : 728,455.50 = 728,455.50 : x
  2. Step 2: Convert to fraction form
    334,077.75/728,455.50 = 728,455.50/x
  3. Step 3: Cross multiply
    334,077.75x = 728,455.50 × 728,455.50
  4. Step 4: Simplify right side
    334,077.75x = 530,647,415,480.25
  5. Step 5: Solve for x
    x = 530,647,415,480.25/334,077.75
  6. Step 6: Final answer
    x = 1,588,394.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.