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Finding the Third Proportional to 255,740 and 378,652

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Solution

The third proportional to 255,740 and 378,652 is: 560,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,740 : 378,652 = 378,652 : x
  2. Step 2: Convert to fraction form
    255,740/378,652 = 378,652/x
  3. Step 3: Cross multiply
    255,740x = 378,652 × 378,652
  4. Step 4: Simplify right side
    255,740x = 143,377,337,104
  5. Step 5: Solve for x
    x = 143,377,337,104/255,740
  6. Step 6: Final answer
    x = 560,637.12

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.