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Finding the Third Proportional to 259,526 and 563,116

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Solution

The third proportional to 259,526 and 563,116 is: 1,221,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,526 : 563,116 = 563,116 : x
  2. Step 2: Convert to fraction form
    259,526/563,116 = 563,116/x
  3. Step 3: Cross multiply
    259,526x = 563,116 × 563,116
  4. Step 4: Simplify right side
    259,526x = 317,099,629,456
  5. Step 5: Solve for x
    x = 317,099,629,456/259,526
  6. Step 6: Final answer
    x = 1,221,841.47

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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.