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Finding the Third Proportional to 281,538 and 597,620

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Solution

The third proportional to 281,538 and 597,620 is: 1,268,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,538 : 597,620 = 597,620 : x
  2. Step 2: Convert to fraction form
    281,538/597,620 = 597,620/x
  3. Step 3: Cross multiply
    281,538x = 597,620 × 597,620
  4. Step 4: Simplify right side
    281,538x = 357,149,664,400
  5. Step 5: Solve for x
    x = 357,149,664,400/281,538
  6. Step 6: Final answer
    x = 1,268,566.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.