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Finding the Third Proportional to 343,846.69 and 531,351.56

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Solution

The third proportional to 343,846.69 and 531,351.56 is: 821,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,846.69 : 531,351.56 = 531,351.56 : x
  2. Step 2: Convert to fraction form
    343,846.69/531,351.56 = 531,351.56/x
  3. Step 3: Cross multiply
    343,846.69x = 531,351.56 × 531,351.56
  4. Step 4: Simplify right side
    343,846.69x = 282,334,482,971.19
  5. Step 5: Solve for x
    x = 282,334,482,971.19/343,846.69
  6. Step 6: Final answer
    x = 821,105.72

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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.