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Finding the Third Proportional to 583,586.44 and 883,523.25

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Solution

The third proportional to 583,586.44 and 883,523.25 is: 1,337,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,586.44 : 883,523.25 = 883,523.25 : x
  2. Step 2: Convert to fraction form
    583,586.44/883,523.25 = 883,523.25/x
  3. Step 3: Cross multiply
    583,586.44x = 883,523.25 × 883,523.25
  4. Step 4: Simplify right side
    583,586.44x = 780,613,333,290.56
  5. Step 5: Solve for x
    x = 780,613,333,290.56/583,586.44
  6. Step 6: Final answer
    x = 1,337,613.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.