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Finding the Third Proportional to 351,625.50 and 542,029.50

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Solution

The third proportional to 351,625.50 and 542,029.50 is: 835,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,625.50 : 542,029.50 = 542,029.50 : x
  2. Step 2: Convert to fraction form
    351,625.50/542,029.50 = 542,029.50/x
  3. Step 3: Cross multiply
    351,625.50x = 542,029.50 × 542,029.50
  4. Step 4: Simplify right side
    351,625.50x = 293,795,978,870.25
  5. Step 5: Solve for x
    x = 293,795,978,870.25/351,625.50
  6. Step 6: Final answer
    x = 835,536.61

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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.