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Finding the Third Proportional to 253,722,287 and 403,726,232

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Solution

The third proportional to 253,722,287 and 403,726,232 is: 642,414,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,722,287 : 403,726,232 = 403,726,232 : x
  2. Step 2: Convert to fraction form
    253,722,287/403,726,232 = 403,726,232/x
  3. Step 3: Cross multiply
    253,722,287x = 403,726,232 × 403,726,232
  4. Step 4: Simplify right side
    253,722,287x = 162,994,870,404,917,824
  5. Step 5: Solve for x
    x = 162,994,870,404,917,824/253,722,287
  6. Step 6: Final answer
    x = 642,414,477.39

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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.