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Finding the Third Proportional to 350,964.50 and 539,125

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Solution

The third proportional to 350,964.50 and 539,125 is: 828,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,964.50 : 539,125 = 539,125 : x
  2. Step 2: Convert to fraction form
    350,964.50/539,125 = 539,125/x
  3. Step 3: Cross multiply
    350,964.50x = 539,125 × 539,125
  4. Step 4: Simplify right side
    350,964.50x = 290,655,765,625
  5. Step 5: Solve for x
    x = 290,655,765,625/350,964.50
  6. Step 6: Final answer
    x = 828,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.