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Finding the Third Proportional to 583,296 and 913,824

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Solution

The third proportional to 583,296 and 913,824 is: 1,431,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,296 : 913,824 = 913,824 : x
  2. Step 2: Convert to fraction form
    583,296/913,824 = 913,824/x
  3. Step 3: Cross multiply
    583,296x = 913,824 × 913,824
  4. Step 4: Simplify right side
    583,296x = 835,074,302,976
  5. Step 5: Solve for x
    x = 835,074,302,976/583,296
  6. Step 6: Final answer
    x = 1,431,647.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.