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Finding the Third Proportional to 333,102 and 490,824

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Solution

The third proportional to 333,102 and 490,824 is: 723,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,102 : 490,824 = 490,824 : x
  2. Step 2: Convert to fraction form
    333,102/490,824 = 490,824/x
  3. Step 3: Cross multiply
    333,102x = 490,824 × 490,824
  4. Step 4: Simplify right side
    333,102x = 240,908,198,976
  5. Step 5: Solve for x
    x = 240,908,198,976/333,102
  6. Step 6: Final answer
    x = 723,226.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.