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Finding the Third Proportional to 281,658 and 611,096

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Solution

The third proportional to 281,658 and 611,096 is: 1,325,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,658 : 611,096 = 611,096 : x
  2. Step 2: Convert to fraction form
    281,658/611,096 = 611,096/x
  3. Step 3: Cross multiply
    281,658x = 611,096 × 611,096
  4. Step 4: Simplify right side
    281,658x = 373,438,321,216
  5. Step 5: Solve for x
    x = 373,438,321,216/281,658
  6. Step 6: Final answer
    x = 1,325,857.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.