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Finding the Third Proportional to 294,284 and 655,190

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Solution

The third proportional to 294,284 and 655,190 is: 1,458,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,284 : 655,190 = 655,190 : x
  2. Step 2: Convert to fraction form
    294,284/655,190 = 655,190/x
  3. Step 3: Cross multiply
    294,284x = 655,190 × 655,190
  4. Step 4: Simplify right side
    294,284x = 429,273,936,100
  5. Step 5: Solve for x
    x = 429,273,936,100/294,284
  6. Step 6: Final answer
    x = 1,458,706.34

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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.