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Finding the Third Proportional to 345,052.50 and 754,074

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Solution

The third proportional to 345,052.50 and 754,074 is: 1,647,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,052.50 : 754,074 = 754,074 : x
  2. Step 2: Convert to fraction form
    345,052.50/754,074 = 754,074/x
  3. Step 3: Cross multiply
    345,052.50x = 754,074 × 754,074
  4. Step 4: Simplify right side
    345,052.50x = 568,627,597,476
  5. Step 5: Solve for x
    x = 568,627,597,476/345,052.50
  6. Step 6: Final answer
    x = 1,647,945.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.