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Finding the Third Proportional to 259,656 and 567,376

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Solution

The third proportional to 259,656 and 567,376 is: 1,239,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,656 : 567,376 = 567,376 : x
  2. Step 2: Convert to fraction form
    259,656/567,376 = 567,376/x
  3. Step 3: Cross multiply
    259,656x = 567,376 × 567,376
  4. Step 4: Simplify right side
    259,656x = 321,915,525,376
  5. Step 5: Solve for x
    x = 321,915,525,376/259,656
  6. Step 6: Final answer
    x = 1,239,776.96

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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.