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Finding the Third Proportional to 281,194 and 607,350

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Solution

The third proportional to 281,194 and 607,350 is: 1,311,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,194 : 607,350 = 607,350 : x
  2. Step 2: Convert to fraction form
    281,194/607,350 = 607,350/x
  3. Step 3: Cross multiply
    281,194x = 607,350 × 607,350
  4. Step 4: Simplify right side
    281,194x = 368,874,022,500
  5. Step 5: Solve for x
    x = 368,874,022,500/281,194
  6. Step 6: Final answer
    x = 1,311,813.28

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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.