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Finding the Third Proportional to 289,303,211 and 436,645,234

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Solution

The third proportional to 289,303,211 and 436,645,234 is: 659,028,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,303,211 : 436,645,234 = 436,645,234 : x
  2. Step 2: Convert to fraction form
    289,303,211/436,645,234 = 436,645,234/x
  3. Step 3: Cross multiply
    289,303,211x = 436,645,234 × 436,645,234
  4. Step 4: Simplify right side
    289,303,211x = 190,659,060,374,914,752
  5. Step 5: Solve for x
    x = 190,659,060,374,914,752/289,303,211
  6. Step 6: Final answer
    x = 659,028,497.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.