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Finding the Third Proportional to 294,390,530 and 642,253,177

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Solution

The third proportional to 294,390,530 and 642,253,177 is: 1,401,163,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,390,530 : 642,253,177 = 642,253,177 : x
  2. Step 2: Convert to fraction form
    294,390,530/642,253,177 = 642,253,177/x
  3. Step 3: Cross multiply
    294,390,530x = 642,253,177 × 642,253,177
  4. Step 4: Simplify right side
    294,390,530x = 412,489,143,366,593,344
  5. Step 5: Solve for x
    x = 412,489,143,366,593,344/294,390,530
  6. Step 6: Final answer
    x = 1,401,163,085.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.