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Finding the Third Proportional to 281,275,990 and 605,753,502

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Solution

The third proportional to 281,275,990 and 605,753,502 is: 1,304,545,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,275,990 : 605,753,502 = 605,753,502 : x
  2. Step 2: Convert to fraction form
    281,275,990/605,753,502 = 605,753,502/x
  3. Step 3: Cross multiply
    281,275,990x = 605,753,502 × 605,753,502
  4. Step 4: Simplify right side
    281,275,990x = 366,937,305,185,264,000
  5. Step 5: Solve for x
    x = 366,937,305,185,264,000/281,275,990
  6. Step 6: Final answer
    x = 1,304,545,422.40

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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.