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Finding the Third Proportional to 350,037 and 528,262.50

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Solution

The third proportional to 350,037 and 528,262.50 is: 797,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,037 : 528,262.50 = 528,262.50 : x
  2. Step 2: Convert to fraction form
    350,037/528,262.50 = 528,262.50/x
  3. Step 3: Cross multiply
    350,037x = 528,262.50 × 528,262.50
  4. Step 4: Simplify right side
    350,037x = 279,061,268,906.25
  5. Step 5: Solve for x
    x = 279,061,268,906.25/350,037
  6. Step 6: Final answer
    x = 797,233.63

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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.