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Finding the Third Proportional to 340,996 and 743,048

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Solution

The third proportional to 340,996 and 743,048 is: 1,619,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,996 : 743,048 = 743,048 : x
  2. Step 2: Convert to fraction form
    340,996/743,048 = 743,048/x
  3. Step 3: Cross multiply
    340,996x = 743,048 × 743,048
  4. Step 4: Simplify right side
    340,996x = 552,120,330,304
  5. Step 5: Solve for x
    x = 552,120,330,304/340,996
  6. Step 6: Final answer
    x = 1,619,140.20

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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.