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Finding the Third Proportional to 378,927 and 810,373.50

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Solution

The third proportional to 378,927 and 810,373.50 is: 1,733,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,927 : 810,373.50 = 810,373.50 : x
  2. Step 2: Convert to fraction form
    378,927/810,373.50 = 810,373.50/x
  3. Step 3: Cross multiply
    378,927x = 810,373.50 × 810,373.50
  4. Step 4: Simplify right side
    378,927x = 656,705,209,502.25
  5. Step 5: Solve for x
    x = 656,705,209,502.25/378,927
  6. Step 6: Final answer
    x = 1,733,065.23

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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.