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Finding the Third Proportional to 323,305.50 and 702,571

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Solution

The third proportional to 323,305.50 and 702,571 is: 1,526,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,305.50 : 702,571 = 702,571 : x
  2. Step 2: Convert to fraction form
    323,305.50/702,571 = 702,571/x
  3. Step 3: Cross multiply
    323,305.50x = 702,571 × 702,571
  4. Step 4: Simplify right side
    323,305.50x = 493,606,010,041
  5. Step 5: Solve for x
    x = 493,606,010,041/323,305.50
  6. Step 6: Final answer
    x = 1,526,747.95

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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.