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Finding the Third Proportional to 354,975.75 and 772,147.50

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Solution

The third proportional to 354,975.75 and 772,147.50 is: 1,679,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,975.75 : 772,147.50 = 772,147.50 : x
  2. Step 2: Convert to fraction form
    354,975.75/772,147.50 = 772,147.50/x
  3. Step 3: Cross multiply
    354,975.75x = 772,147.50 × 772,147.50
  4. Step 4: Simplify right side
    354,975.75x = 596,211,761,756.25
  5. Step 5: Solve for x
    x = 596,211,761,756.25/354,975.75
  6. Step 6: Final answer
    x = 1,679,584.48

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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.