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Finding the Third Proportional to 248,304,176 and 585,321,984

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Solution

The third proportional to 248,304,176 and 585,321,984 is: 1,379,766,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,304,176 : 585,321,984 = 585,321,984 : x
  2. Step 2: Convert to fraction form
    248,304,176/585,321,984 = 585,321,984/x
  3. Step 3: Cross multiply
    248,304,176x = 585,321,984 × 585,321,984
  4. Step 4: Simplify right side
    248,304,176x = 342,601,824,953,696,256
  5. Step 5: Solve for x
    x = 342,601,824,953,696,256/248,304,176
  6. Step 6: Final answer
    x = 1,379,766,665.52

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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.