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Finding the Third Proportional to 290,347,991 and 443,853,867

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Solution

The third proportional to 290,347,991 and 443,853,867 is: 678,517,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,347,991 : 443,853,867 = 443,853,867 : x
  2. Step 2: Convert to fraction form
    290,347,991/443,853,867 = 443,853,867/x
  3. Step 3: Cross multiply
    290,347,991x = 443,853,867 × 443,853,867
  4. Step 4: Simplify right side
    290,347,991x = 197,006,255,250,853,696
  5. Step 5: Solve for x
    x = 197,006,255,250,853,696/290,347,991
  6. Step 6: Final answer
    x = 678,517,714.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.