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Finding the Third Proportional to 434,236.50 and 956,820.38

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Solution

The third proportional to 434,236.50 and 956,820.38 is: 2,108,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,236.50 : 956,820.38 = 956,820.38 : x
  2. Step 2: Convert to fraction form
    434,236.50/956,820.38 = 956,820.38/x
  3. Step 3: Cross multiply
    434,236.50x = 956,820.38 × 956,820.38
  4. Step 4: Simplify right side
    434,236.50x = 915,505,230,015.14
  5. Step 5: Solve for x
    x = 915,505,230,015.14/434,236.50
  6. Step 6: Final answer
    x = 2,108,310.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.