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Finding the Third Proportional to 272,583 and 636,705

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Solution

The third proportional to 272,583 and 636,705 is: 1,487,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,583 : 636,705 = 636,705 : x
  2. Step 2: Convert to fraction form
    272,583/636,705 = 636,705/x
  3. Step 3: Cross multiply
    272,583x = 636,705 × 636,705
  4. Step 4: Simplify right side
    272,583x = 405,393,257,025
  5. Step 5: Solve for x
    x = 405,393,257,025/272,583
  6. Step 6: Final answer
    x = 1,487,228.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.