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Finding the Third Proportional to 253,722,304 and 403,726,255

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Solution

The third proportional to 253,722,304 and 403,726,255 is: 642,414,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,722,304 : 403,726,255 = 403,726,255 : x
  2. Step 2: Convert to fraction form
    253,722,304/403,726,255 = 403,726,255/x
  3. Step 3: Cross multiply
    253,722,304x = 403,726,255 × 403,726,255
  4. Step 4: Simplify right side
    253,722,304x = 162,994,888,976,325,024
  5. Step 5: Solve for x
    x = 162,994,888,976,325,024/253,722,304
  6. Step 6: Final answer
    x = 642,414,507.54

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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.