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Finding the Third Proportional to 281,418 and 591,996

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Solution

The third proportional to 281,418 and 591,996 is: 1,245,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,418 : 591,996 = 591,996 : x
  2. Step 2: Convert to fraction form
    281,418/591,996 = 591,996/x
  3. Step 3: Cross multiply
    281,418x = 591,996 × 591,996
  4. Step 4: Simplify right side
    281,418x = 350,459,264,016
  5. Step 5: Solve for x
    x = 350,459,264,016/281,418
  6. Step 6: Final answer
    x = 1,245,333.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.