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Finding the Third Proportional to 378,957 and 810,421.50

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Solution

The third proportional to 378,957 and 810,421.50 is: 1,733,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,957 : 810,421.50 = 810,421.50 : x
  2. Step 2: Convert to fraction form
    378,957/810,421.50 = 810,421.50/x
  3. Step 3: Cross multiply
    378,957x = 810,421.50 × 810,421.50
  4. Step 4: Simplify right side
    378,957x = 656,783,007,662.25
  5. Step 5: Solve for x
    x = 656,783,007,662.25/378,957
  6. Step 6: Final answer
    x = 1,733,133.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.