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Finding the Third Proportional to 298,628,100 and 621,094,496

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Solution

The third proportional to 298,628,100 and 621,094,496 is: 1,291,768,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,628,100 : 621,094,496 = 621,094,496 : x
  2. Step 2: Convert to fraction form
    298,628,100/621,094,496 = 621,094,496/x
  3. Step 3: Cross multiply
    298,628,100x = 621,094,496 × 621,094,496
  4. Step 4: Simplify right side
    298,628,100x = 385,758,372,961,494,016
  5. Step 5: Solve for x
    x = 385,758,372,961,494,016/298,628,100
  6. Step 6: Final answer
    x = 1,291,768,500.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.