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Finding the Third Proportional to 345,991.50 and 748,845.84

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Solution

The third proportional to 345,991.50 and 748,845.84 is: 1,620,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,991.50 : 748,845.84 = 748,845.84 : x
  2. Step 2: Convert to fraction form
    345,991.50/748,845.84 = 748,845.84/x
  3. Step 3: Cross multiply
    345,991.50x = 748,845.84 × 748,845.84
  4. Step 4: Simplify right side
    345,991.50x = 560,770,097,701.65
  5. Step 5: Solve for x
    x = 560,770,097,701.65/345,991.50
  6. Step 6: Final answer
    x = 1,620,762.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.