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Finding the Third Proportional to 462,060.75 and 691,200.75

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Solution

The third proportional to 462,060.75 and 691,200.75 is: 1,033,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,060.75 : 691,200.75 = 691,200.75 : x
  2. Step 2: Convert to fraction form
    462,060.75/691,200.75 = 691,200.75/x
  3. Step 3: Cross multiply
    462,060.75x = 691,200.75 × 691,200.75
  4. Step 4: Simplify right side
    462,060.75x = 477,758,476,800.56
  5. Step 5: Solve for x
    x = 477,758,476,800.56/462,060.75
  6. Step 6: Final answer
    x = 1,033,973.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.