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Finding the Third Proportional to 394,420 and 601,854

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Solution

The third proportional to 394,420 and 601,854 is: 918,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,420 : 601,854 = 601,854 : x
  2. Step 2: Convert to fraction form
    394,420/601,854 = 601,854/x
  3. Step 3: Cross multiply
    394,420x = 601,854 × 601,854
  4. Step 4: Simplify right side
    394,420x = 362,228,237,316
  5. Step 5: Solve for x
    x = 362,228,237,316/394,420
  6. Step 6: Final answer
    x = 918,382.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.