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Finding the Third Proportional to 259,480.50 and 563,239.50

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Solution

The third proportional to 259,480.50 and 563,239.50 is: 1,222,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,480.50 : 563,239.50 = 563,239.50 : x
  2. Step 2: Convert to fraction form
    259,480.50/563,239.50 = 563,239.50/x
  3. Step 3: Cross multiply
    259,480.50x = 563,239.50 × 563,239.50
  4. Step 4: Simplify right side
    259,480.50x = 317,238,734,360.25
  5. Step 5: Solve for x
    x = 317,238,734,360.25/259,480.50
  6. Step 6: Final answer
    x = 1,222,591.81

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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.