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Finding the Third Proportional to 368,524 and 799,250

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Solution

The third proportional to 368,524 and 799,250 is: 1,733,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,524 : 799,250 = 799,250 : x
  2. Step 2: Convert to fraction form
    368,524/799,250 = 799,250/x
  3. Step 3: Cross multiply
    368,524x = 799,250 × 799,250
  4. Step 4: Simplify right side
    368,524x = 638,800,562,500
  5. Step 5: Solve for x
    x = 638,800,562,500/368,524
  6. Step 6: Final answer
    x = 1,733,402.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.