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Finding the Third Proportional to 412,840.13 and 863,132.63

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Solution

The third proportional to 412,840.13 and 863,132.63 is: 1,804,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,840.13 : 863,132.63 = 863,132.63 : x
  2. Step 2: Convert to fraction form
    412,840.13/863,132.63 = 863,132.63/x
  3. Step 3: Cross multiply
    412,840.13x = 863,132.63 × 863,132.63
  4. Step 4: Simplify right side
    412,840.13x = 744,997,928,339.39
  5. Step 5: Solve for x
    x = 744,997,928,339.39/412,840.13
  6. Step 6: Final answer
    x = 1,804,567.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.