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Finding the Third Proportional to 286,108 and 615,848

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Solution

The third proportional to 286,108 and 615,848 is: 1,325,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,108 : 615,848 = 615,848 : x
  2. Step 2: Convert to fraction form
    286,108/615,848 = 615,848/x
  3. Step 3: Cross multiply
    286,108x = 615,848 × 615,848
  4. Step 4: Simplify right side
    286,108x = 379,268,759,104
  5. Step 5: Solve for x
    x = 379,268,759,104/286,108
  6. Step 6: Final answer
    x = 1,325,613.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.