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Finding the Third Proportional to 400,847.06 and 834,863.63

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Solution

The third proportional to 400,847.06 and 834,863.63 is: 1,738,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,847.06 : 834,863.63 = 834,863.63 : x
  2. Step 2: Convert to fraction form
    400,847.06/834,863.63 = 834,863.63/x
  3. Step 3: Cross multiply
    400,847.06x = 834,863.63 × 834,863.63
  4. Step 4: Simplify right side
    400,847.06x = 696,997,272,348.14
  5. Step 5: Solve for x
    x = 696,997,272,348.14/400,847.06
  6. Step 6: Final answer
    x = 1,738,810.98

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Why These Related Problems?

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