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Finding the Third Proportional to 353,880.75 and 769,968.75

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Solution

The third proportional to 353,880.75 and 769,968.75 is: 1,675,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,880.75 : 769,968.75 = 769,968.75 : x
  2. Step 2: Convert to fraction form
    353,880.75/769,968.75 = 769,968.75/x
  3. Step 3: Cross multiply
    353,880.75x = 769,968.75 × 769,968.75
  4. Step 4: Simplify right side
    353,880.75x = 592,851,875,976.56
  5. Step 5: Solve for x
    x = 592,851,875,976.56/353,880.75
  6. Step 6: Final answer
    x = 1,675,287.16

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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.