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Finding the Third Proportional to 340,880 and 734,080

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Solution

The third proportional to 340,880 and 734,080 is: 1,580,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,880 : 734,080 = 734,080 : x
  2. Step 2: Convert to fraction form
    340,880/734,080 = 734,080/x
  3. Step 3: Cross multiply
    340,880x = 734,080 × 734,080
  4. Step 4: Simplify right side
    340,880x = 538,873,446,400
  5. Step 5: Solve for x
    x = 538,873,446,400/340,880
  6. Step 6: Final answer
    x = 1,580,830.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.