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Finding the Third Proportional to 583,224 and 913,716

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Solution

The third proportional to 583,224 and 913,716 is: 1,431,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,224 : 913,716 = 913,716 : x
  2. Step 2: Convert to fraction form
    583,224/913,716 = 913,716/x
  3. Step 3: Cross multiply
    583,224x = 913,716 × 913,716
  4. Step 4: Simplify right side
    583,224x = 834,876,928,656
  5. Step 5: Solve for x
    x = 834,876,928,656/583,224
  6. Step 6: Final answer
    x = 1,431,485.89

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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.