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Finding the Third Proportional to 583,255.69 and 905,230.69

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Solution

The third proportional to 583,255.69 and 905,230.69 is: 1,404,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,255.69 : 905,230.69 = 905,230.69 : x
  2. Step 2: Convert to fraction form
    583,255.69/905,230.69 = 905,230.69/x
  3. Step 3: Cross multiply
    583,255.69x = 905,230.69 × 905,230.69
  4. Step 4: Simplify right side
    583,255.69x = 819,442,597,591.72
  5. Step 5: Solve for x
    x = 819,442,597,591.72/583,255.69
  6. Step 6: Final answer
    x = 1,404,945.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.