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Finding the Third Proportional to 583,228 and 913,722

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Solution

The third proportional to 583,228 and 913,722 is: 1,431,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,228 : 913,722 = 913,722 : x
  2. Step 2: Convert to fraction form
    583,228/913,722 = 913,722/x
  3. Step 3: Cross multiply
    583,228x = 913,722 × 913,722
  4. Step 4: Simplify right side
    583,228x = 834,887,893,284
  5. Step 5: Solve for x
    x = 834,887,893,284/583,228
  6. Step 6: Final answer
    x = 1,431,494.88

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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.