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Finding the Third Proportional to 350,301.75 and 728,560.88

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Solution

The third proportional to 350,301.75 and 728,560.88 is: 1,515,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,301.75 : 728,560.88 = 728,560.88 : x
  2. Step 2: Convert to fraction form
    350,301.75/728,560.88 = 728,560.88/x
  3. Step 3: Cross multiply
    350,301.75x = 728,560.88 × 728,560.88
  4. Step 4: Simplify right side
    350,301.75x = 530,800,948,580.77
  5. Step 5: Solve for x
    x = 530,800,948,580.77/350,301.75
  6. Step 6: Final answer
    x = 1,515,267.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.