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Finding the Third Proportional to 341,880.75 and 743,964.75

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Solution

The third proportional to 341,880.75 and 743,964.75 is: 1,618,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,880.75 : 743,964.75 = 743,964.75 : x
  2. Step 2: Convert to fraction form
    341,880.75/743,964.75 = 743,964.75/x
  3. Step 3: Cross multiply
    341,880.75x = 743,964.75 × 743,964.75
  4. Step 4: Simplify right side
    341,880.75x = 553,483,549,242.56
  5. Step 5: Solve for x
    x = 553,483,549,242.56/341,880.75
  6. Step 6: Final answer
    x = 1,618,937.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.