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Finding the Third Proportional to 304,148,936 and 624,421,722

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Solution

The third proportional to 304,148,936 and 624,421,722 is: 1,281,945,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148,936 : 624,421,722 = 624,421,722 : x
  2. Step 2: Convert to fraction form
    304,148,936/624,421,722 = 624,421,722/x
  3. Step 3: Cross multiply
    304,148,936x = 624,421,722 × 624,421,722
  4. Step 4: Simplify right side
    304,148,936x = 389,902,486,905,445,312
  5. Step 5: Solve for x
    x = 389,902,486,905,445,312/304,148,936
  6. Step 6: Final answer
    x = 1,281,945,917.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.