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Finding the Third Proportional to 406,977.75 and 883,993.50

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Solution

The third proportional to 406,977.75 and 883,993.50 is: 1,920,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,977.75 : 883,993.50 = 883,993.50 : x
  2. Step 2: Convert to fraction form
    406,977.75/883,993.50 = 883,993.50/x
  3. Step 3: Cross multiply
    406,977.75x = 883,993.50 × 883,993.50
  4. Step 4: Simplify right side
    406,977.75x = 781,444,508,042.25
  5. Step 5: Solve for x
    x = 781,444,508,042.25/406,977.75
  6. Step 6: Final answer
    x = 1,920,116.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.