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Finding the Third Proportional to 294,769 and 636,601

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Solution

The third proportional to 294,769 and 636,601 is: 1,374,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,769 : 636,601 = 636,601 : x
  2. Step 2: Convert to fraction form
    294,769/636,601 = 636,601/x
  3. Step 3: Cross multiply
    294,769x = 636,601 × 636,601
  4. Step 4: Simplify right side
    294,769x = 405,260,833,201
  5. Step 5: Solve for x
    x = 405,260,833,201/294,769
  6. Step 6: Final answer
    x = 1,374,842.11

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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.