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Finding the Third Proportional to 259,640 and 567,340

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Solution

The third proportional to 259,640 and 567,340 is: 1,239,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,640 : 567,340 = 567,340 : x
  2. Step 2: Convert to fraction form
    259,640/567,340 = 567,340/x
  3. Step 3: Cross multiply
    259,640x = 567,340 × 567,340
  4. Step 4: Simplify right side
    259,640x = 321,874,675,600
  5. Step 5: Solve for x
    x = 321,874,675,600/259,640
  6. Step 6: Final answer
    x = 1,239,696.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.