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Finding the Third Proportional to 569,219 and 857,568

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Solution

The third proportional to 569,219 and 857,568 is: 1,291,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,219 : 857,568 = 857,568 : x
  2. Step 2: Convert to fraction form
    569,219/857,568 = 857,568/x
  3. Step 3: Cross multiply
    569,219x = 857,568 × 857,568
  4. Step 4: Simplify right side
    569,219x = 735,422,874,624
  5. Step 5: Solve for x
    x = 735,422,874,624/569,219
  6. Step 6: Final answer
    x = 1,291,985.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.