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Finding the Third Proportional to 333,494 and 730,234

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Solution

The third proportional to 333,494 and 730,234 is: 1,598,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,494 : 730,234 = 730,234 : x
  2. Step 2: Convert to fraction form
    333,494/730,234 = 730,234/x
  3. Step 3: Cross multiply
    333,494x = 730,234 × 730,234
  4. Step 4: Simplify right side
    333,494x = 533,241,694,756
  5. Step 5: Solve for x
    x = 533,241,694,756/333,494
  6. Step 6: Final answer
    x = 1,598,954.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.