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Finding the Third Proportional to 294,268 and 655,156

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Solution

The third proportional to 294,268 and 655,156 is: 1,458,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,268 : 655,156 = 655,156 : x
  2. Step 2: Convert to fraction form
    294,268/655,156 = 655,156/x
  3. Step 3: Cross multiply
    294,268x = 655,156 × 655,156
  4. Step 4: Simplify right side
    294,268x = 429,229,384,336
  5. Step 5: Solve for x
    x = 429,229,384,336/294,268
  6. Step 6: Final answer
    x = 1,458,634.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.