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Finding the Third Proportional to 405,767 and 633,214

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Solution

The third proportional to 405,767 and 633,214 is: 988,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,767 : 633,214 = 633,214 : x
  2. Step 2: Convert to fraction form
    405,767/633,214 = 633,214/x
  3. Step 3: Cross multiply
    405,767x = 633,214 × 633,214
  4. Step 4: Simplify right side
    405,767x = 400,959,969,796
  5. Step 5: Solve for x
    x = 400,959,969,796/405,767
  6. Step 6: Final answer
    x = 988,153.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.