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Finding the Third Proportional to 297,268 and 634,856

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Solution

The third proportional to 297,268 and 634,856 is: 1,355,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,268 : 634,856 = 634,856 : x
  2. Step 2: Convert to fraction form
    297,268/634,856 = 634,856/x
  3. Step 3: Cross multiply
    297,268x = 634,856 × 634,856
  4. Step 4: Simplify right side
    297,268x = 403,042,140,736
  5. Step 5: Solve for x
    x = 403,042,140,736/297,268
  6. Step 6: Final answer
    x = 1,355,820.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.