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Finding the Third Proportional to 350,026 and 528,245

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Solution

The third proportional to 350,026 and 528,245 is: 797,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,026 : 528,245 = 528,245 : x
  2. Step 2: Convert to fraction form
    350,026/528,245 = 528,245/x
  3. Step 3: Cross multiply
    350,026x = 528,245 × 528,245
  4. Step 4: Simplify right side
    350,026x = 279,042,780,025
  5. Step 5: Solve for x
    x = 279,042,780,025/350,026
  6. Step 6: Final answer
    x = 797,205.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.