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Finding the Third Proportional to 375,314 and 580,922.75

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Solution

The third proportional to 375,314 and 580,922.75 is: 899,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,314 : 580,922.75 = 580,922.75 : x
  2. Step 2: Convert to fraction form
    375,314/580,922.75 = 580,922.75/x
  3. Step 3: Cross multiply
    375,314x = 580,922.75 × 580,922.75
  4. Step 4: Simplify right side
    375,314x = 337,471,241,467.56
  5. Step 5: Solve for x
    x = 337,471,241,467.56/375,314
  6. Step 6: Final answer
    x = 899,170.41

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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.