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Finding the Third Proportional to 389,695.50 and 810,013.50

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Solution

The third proportional to 389,695.50 and 810,013.50 is: 1,683,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,695.50 : 810,013.50 = 810,013.50 : x
  2. Step 2: Convert to fraction form
    389,695.50/810,013.50 = 810,013.50/x
  3. Step 3: Cross multiply
    389,695.50x = 810,013.50 × 810,013.50
  4. Step 4: Simplify right side
    389,695.50x = 656,121,870,182.25
  5. Step 5: Solve for x
    x = 656,121,870,182.25/389,695.50
  6. Step 6: Final answer
    x = 1,683,678.33

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.