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Finding the Third Proportional to 259,345.50 and 605,754

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Solution

The third proportional to 259,345.50 and 605,754 is: 1,414,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,345.50 : 605,754 = 605,754 : x
  2. Step 2: Convert to fraction form
    259,345.50/605,754 = 605,754/x
  3. Step 3: Cross multiply
    259,345.50x = 605,754 × 605,754
  4. Step 4: Simplify right side
    259,345.50x = 366,937,908,516
  5. Step 5: Solve for x
    x = 366,937,908,516/259,345.50
  6. Step 6: Final answer
    x = 1,414,861.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.