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Finding the Third Proportional to 231,818 and 483,722

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Solution

The third proportional to 231,818 and 483,722 is: 1,009,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,818 : 483,722 = 483,722 : x
  2. Step 2: Convert to fraction form
    231,818/483,722 = 483,722/x
  3. Step 3: Cross multiply
    231,818x = 483,722 × 483,722
  4. Step 4: Simplify right side
    231,818x = 233,986,973,284
  5. Step 5: Solve for x
    x = 233,986,973,284/231,818
  6. Step 6: Final answer
    x = 1,009,356.36

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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.