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Finding the Third Proportional to 286,112 and 615,856

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Solution

The third proportional to 286,112 and 615,856 is: 1,325,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,112 : 615,856 = 615,856 : x
  2. Step 2: Convert to fraction form
    286,112/615,856 = 615,856/x
  3. Step 3: Cross multiply
    286,112x = 615,856 × 615,856
  4. Step 4: Simplify right side
    286,112x = 379,278,612,736
  5. Step 5: Solve for x
    x = 379,278,612,736/286,112
  6. Step 6: Final answer
    x = 1,325,629.87

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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.