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Finding the Third Proportional to 294,333 and 635,703

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Solution

The third proportional to 294,333 and 635,703 is: 1,372,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,333 : 635,703 = 635,703 : x
  2. Step 2: Convert to fraction form
    294,333/635,703 = 635,703/x
  3. Step 3: Cross multiply
    294,333x = 635,703 × 635,703
  4. Step 4: Simplify right side
    294,333x = 404,118,304,209
  5. Step 5: Solve for x
    x = 404,118,304,209/294,333
  6. Step 6: Final answer
    x = 1,372,996.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.