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Finding the Third Proportional to 341,996 and 741,952

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Solution

The third proportional to 341,996 and 741,952 is: 1,609,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996 : 741,952 = 741,952 : x
  2. Step 2: Convert to fraction form
    341,996/741,952 = 741,952/x
  3. Step 3: Cross multiply
    341,996x = 741,952 × 741,952
  4. Step 4: Simplify right side
    341,996x = 550,492,770,304
  5. Step 5: Solve for x
    x = 550,492,770,304/341,996
  6. Step 6: Final answer
    x = 1,609,646.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.