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Finding the Third Proportional to 569,744 and 845,832

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Solution

The third proportional to 569,744 and 845,832 is: 1,255,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,744 : 845,832 = 845,832 : x
  2. Step 2: Convert to fraction form
    569,744/845,832 = 845,832/x
  3. Step 3: Cross multiply
    569,744x = 845,832 × 845,832
  4. Step 4: Simplify right side
    569,744x = 715,431,772,224
  5. Step 5: Solve for x
    x = 715,431,772,224/569,744
  6. Step 6: Final answer
    x = 1,255,707.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.