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Finding the Third Proportional to 259,590 and 563,244

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Solution

The third proportional to 259,590 and 563,244 is: 1,222,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,590 : 563,244 = 563,244 : x
  2. Step 2: Convert to fraction form
    259,590/563,244 = 563,244/x
  3. Step 3: Cross multiply
    259,590x = 563,244 × 563,244
  4. Step 4: Simplify right side
    259,590x = 317,243,803,536
  5. Step 5: Solve for x
    x = 317,243,803,536/259,590
  6. Step 6: Final answer
    x = 1,222,095.63

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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.