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Finding the Third Proportional to 353,935.50 and 770,079

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Solution

The third proportional to 353,935.50 and 770,079 is: 1,675,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,935.50 : 770,079 = 770,079 : x
  2. Step 2: Convert to fraction form
    353,935.50/770,079 = 770,079/x
  3. Step 3: Cross multiply
    353,935.50x = 770,079 × 770,079
  4. Step 4: Simplify right side
    353,935.50x = 593,021,666,241
  5. Step 5: Solve for x
    x = 593,021,666,241/353,935.50
  6. Step 6: Final answer
    x = 1,675,507.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.