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Finding the Third Proportional to 369,025.50 and 799,257

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Solution

The third proportional to 369,025.50 and 799,257 is: 1,731,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,025.50 : 799,257 = 799,257 : x
  2. Step 2: Convert to fraction form
    369,025.50/799,257 = 799,257/x
  3. Step 3: Cross multiply
    369,025.50x = 799,257 × 799,257
  4. Step 4: Simplify right side
    369,025.50x = 638,811,752,049
  5. Step 5: Solve for x
    x = 638,811,752,049/369,025.50
  6. Step 6: Final answer
    x = 1,731,077.53

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