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Finding the Third Proportional to 294,674,089 and 491,093,884

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Solution

The third proportional to 294,674,089 and 491,093,884 is: 818,440,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,674,089 : 491,093,884 = 491,093,884 : x
  2. Step 2: Convert to fraction form
    294,674,089/491,093,884 = 491,093,884/x
  3. Step 3: Cross multiply
    294,674,089x = 491,093,884 × 491,093,884
  4. Step 4: Simplify right side
    294,674,089x = 241,173,202,902,205,440
  5. Step 5: Solve for x
    x = 241,173,202,902,205,440/294,674,089
  6. Step 6: Final answer
    x = 818,440,480.20

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.