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Finding the Third Proportional to 282,904 and 377,692

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Solution

The third proportional to 282,904 and 377,692 is: 504,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,904 : 377,692 = 377,692 : x
  2. Step 2: Convert to fraction form
    282,904/377,692 = 377,692/x
  3. Step 3: Cross multiply
    282,904x = 377,692 × 377,692
  4. Step 4: Simplify right side
    282,904x = 142,651,246,864
  5. Step 5: Solve for x
    x = 142,651,246,864/282,904
  6. Step 6: Final answer
    x = 504,239.06

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.