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Finding the Third Proportional to 441,809,816 and 658,883,401

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Solution

The third proportional to 441,809,816 and 658,883,401 is: 982,611,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,809,816 : 658,883,401 = 658,883,401 : x
  2. Step 2: Convert to fraction form
    441,809,816/658,883,401 = 658,883,401/x
  3. Step 3: Cross multiply
    441,809,816x = 658,883,401 × 658,883,401
  4. Step 4: Simplify right side
    441,809,816x = 434,127,336,113,326,784
  5. Step 5: Solve for x
    x = 434,127,336,113,326,784/441,809,816
  6. Step 6: Final answer
    x = 982,611,341.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.