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Finding the Third Proportional to 281,361 and 607,114

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Solution

The third proportional to 281,361 and 607,114 is: 1,310,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,361 : 607,114 = 607,114 : x
  2. Step 2: Convert to fraction form
    281,361/607,114 = 607,114/x
  3. Step 3: Cross multiply
    281,361x = 607,114 × 607,114
  4. Step 4: Simplify right side
    281,361x = 368,587,408,996
  5. Step 5: Solve for x
    x = 368,587,408,996/281,361
  6. Step 6: Final answer
    x = 1,310,015.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.