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Finding the Third Proportional to 405,864 and 646,380

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Solution

The third proportional to 405,864 and 646,380 is: 1,029,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,864 : 646,380 = 646,380 : x
  2. Step 2: Convert to fraction form
    405,864/646,380 = 646,380/x
  3. Step 3: Cross multiply
    405,864x = 646,380 × 646,380
  4. Step 4: Simplify right side
    405,864x = 417,807,104,400
  5. Step 5: Solve for x
    x = 417,807,104,400/405,864
  6. Step 6: Final answer
    x = 1,029,426.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.