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Finding the Third Proportional to 254,177,824 and 392,769,504

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Solution

The third proportional to 254,177,824 and 392,769,504 is: 606,928,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,177,824 : 392,769,504 = 392,769,504 : x
  2. Step 2: Convert to fraction form
    254,177,824/392,769,504 = 392,769,504/x
  3. Step 3: Cross multiply
    254,177,824x = 392,769,504 × 392,769,504
  4. Step 4: Simplify right side
    254,177,824x = 154,267,883,272,406,016
  5. Step 5: Solve for x
    x = 154,267,883,272,406,016/254,177,824
  6. Step 6: Final answer
    x = 606,928,963.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.