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Finding the Third Proportional to 308,300,996 and 450,875,478

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Solution

The third proportional to 308,300,996 and 450,875,478 is: 659,383,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,300,996 : 450,875,478 = 450,875,478 : x
  2. Step 2: Convert to fraction form
    308,300,996/450,875,478 = 450,875,478/x
  3. Step 3: Cross multiply
    308,300,996x = 450,875,478 × 450,875,478
  4. Step 4: Simplify right side
    308,300,996x = 203,288,696,661,728,480
  5. Step 5: Solve for x
    x = 203,288,696,661,728,480/308,300,996
  6. Step 6: Final answer
    x = 659,383,846.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.