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Finding the Third Proportional to 263,052 and 636,032

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Solution

The third proportional to 263,052 and 636,032 is: 1,537,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,052 : 636,032 = 636,032 : x
  2. Step 2: Convert to fraction form
    263,052/636,032 = 636,032/x
  3. Step 3: Cross multiply
    263,052x = 636,032 × 636,032
  4. Step 4: Simplify right side
    263,052x = 404,536,705,024
  5. Step 5: Solve for x
    x = 404,536,705,024/263,052
  6. Step 6: Final answer
    x = 1,537,858.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.