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Finding the Third Proportional to 269,403,726 and 394,027,890

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Solution

The third proportional to 269,403,726 and 394,027,890 is: 576,302,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,403,726 : 394,027,890 = 394,027,890 : x
  2. Step 2: Convert to fraction form
    269,403,726/394,027,890 = 394,027,890/x
  3. Step 3: Cross multiply
    269,403,726x = 394,027,890 × 394,027,890
  4. Step 4: Simplify right side
    269,403,726x = 155,257,978,097,852,096
  5. Step 5: Solve for x
    x = 155,257,978,097,852,096/269,403,726
  6. Step 6: Final answer
    x = 576,302,267.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.