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Finding the Third Proportional to 322,735,164 and 484,433,232

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Solution

The third proportional to 322,735,164 and 484,433,232 is: 727,145,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,735,164 : 484,433,232 = 484,433,232 : x
  2. Step 2: Convert to fraction form
    322,735,164/484,433,232 = 484,433,232/x
  3. Step 3: Cross multiply
    322,735,164x = 484,433,232 × 484,433,232
  4. Step 4: Simplify right side
    322,735,164x = 234,675,556,265,965,824
  5. Step 5: Solve for x
    x = 234,675,556,265,965,824/322,735,164
  6. Step 6: Final answer
    x = 727,145,915.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.