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Finding the Third Proportional to 246,333,714 and 344,389,032

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Solution

The third proportional to 246,333,714 and 344,389,032 is: 481,476,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,333,714 : 344,389,032 = 344,389,032 : x
  2. Step 2: Convert to fraction form
    246,333,714/344,389,032 = 344,389,032/x
  3. Step 3: Cross multiply
    246,333,714x = 344,389,032 × 344,389,032
  4. Step 4: Simplify right side
    246,333,714x = 118,603,805,361,897,024
  5. Step 5: Solve for x
    x = 118,603,805,361,897,024/246,333,714
  6. Step 6: Final answer
    x = 481,476,138.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.