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Finding the Third Proportional to 731,418.75 and 970,515

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Solution

The third proportional to 731,418.75 and 970,515 is: 1,287,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,418.75 : 970,515 = 970,515 : x
  2. Step 2: Convert to fraction form
    731,418.75/970,515 = 970,515/x
  3. Step 3: Cross multiply
    731,418.75x = 970,515 × 970,515
  4. Step 4: Simplify right side
    731,418.75x = 941,899,365,225
  5. Step 5: Solve for x
    x = 941,899,365,225/731,418.75
  6. Step 6: Final answer
    x = 1,287,770.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.