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Finding the Third Proportional to 261,126,864 and 395,048,736

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Solution

The third proportional to 261,126,864 and 395,048,736 is: 597,653,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,126,864 : 395,048,736 = 395,048,736 : x
  2. Step 2: Convert to fraction form
    261,126,864/395,048,736 = 395,048,736/x
  3. Step 3: Cross multiply
    261,126,864x = 395,048,736 × 395,048,736
  4. Step 4: Simplify right side
    261,126,864x = 156,063,503,815,197,696
  5. Step 5: Solve for x
    x = 156,063,503,815,197,696/261,126,864
  6. Step 6: Final answer
    x = 597,653,958.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.