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Finding the Third Proportional to 345,048.19 and 754,065.56

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Solution

The third proportional to 345,048.19 and 754,065.56 is: 1,647,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,048.19 : 754,065.56 = 754,065.56 : x
  2. Step 2: Convert to fraction form
    345,048.19/754,065.56 = 754,065.56/x
  3. Step 3: Cross multiply
    345,048.19x = 754,065.56 × 754,065.56
  4. Step 4: Simplify right side
    345,048.19x = 568,614,872,548.44
  5. Step 5: Solve for x
    x = 568,614,872,548.44/345,048.19
  6. Step 6: Final answer
    x = 1,647,928.88

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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.