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Finding the Third Proportional to 253,722,296 and 403,726,244

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Solution

The third proportional to 253,722,296 and 403,726,244 is: 642,414,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,722,296 : 403,726,244 = 403,726,244 : x
  2. Step 2: Convert to fraction form
    253,722,296/403,726,244 = 403,726,244/x
  3. Step 3: Cross multiply
    253,722,296x = 403,726,244 × 403,726,244
  4. Step 4: Simplify right side
    253,722,296x = 162,994,880,094,347,520
  5. Step 5: Solve for x
    x = 162,994,880,094,347,520/253,722,296
  6. Step 6: Final answer
    x = 642,414,492.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.