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Finding the Third Proportional to 437,131,158 and 713,720,274

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Solution

The third proportional to 437,131,158 and 713,720,274 is: 1,165,317,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,131,158 : 713,720,274 = 713,720,274 : x
  2. Step 2: Convert to fraction form
    437,131,158/713,720,274 = 713,720,274/x
  3. Step 3: Cross multiply
    437,131,158x = 713,720,274 × 713,720,274
  4. Step 4: Simplify right side
    437,131,158x = 509,396,629,518,635,072
  5. Step 5: Solve for x
    x = 509,396,629,518,635,072/437,131,158
  6. Step 6: Final answer
    x = 1,165,317,594.49

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.