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Finding the Third Proportional to 303,250,500 and 654,920,208

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Solution

The third proportional to 303,250,500 and 654,920,208 is: 1,414,409,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,250,500 : 654,920,208 = 654,920,208 : x
  2. Step 2: Convert to fraction form
    303,250,500/654,920,208 = 654,920,208/x
  3. Step 3: Cross multiply
    303,250,500x = 654,920,208 × 654,920,208
  4. Step 4: Simplify right side
    303,250,500x = 428,920,478,846,763,264
  5. Step 5: Solve for x
    x = 428,920,478,846,763,264/303,250,500
  6. Step 6: Final answer
    x = 1,414,409,799.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.