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Finding the Third Proportional to 248,304,178 and 585,321,997

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Solution

The third proportional to 248,304,178 and 585,321,997 is: 1,379,766,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,304,178 : 585,321,997 = 585,321,997 : x
  2. Step 2: Convert to fraction form
    248,304,178/585,321,997 = 585,321,997/x
  3. Step 3: Cross multiply
    248,304,178x = 585,321,997 × 585,321,997
  4. Step 4: Simplify right side
    248,304,178x = 342,601,840,172,068,032
  5. Step 5: Solve for x
    x = 342,601,840,172,068,032/248,304,178
  6. Step 6: Final answer
    x = 1,379,766,715.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.