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Finding the Third Proportional to 394,844.63 and 610,871.63

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Solution

The third proportional to 394,844.63 and 610,871.63 is: 945,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,844.63 : 610,871.63 = 610,871.63 : x
  2. Step 2: Convert to fraction form
    394,844.63/610,871.63 = 610,871.63/x
  3. Step 3: Cross multiply
    394,844.63x = 610,871.63 × 610,871.63
  4. Step 4: Simplify right side
    394,844.63x = 373,164,142,230.14
  5. Step 5: Solve for x
    x = 373,164,142,230.14/394,844.63
  6. Step 6: Final answer
    x = 945,091.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.