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Finding the Third Proportional to 333,063 and 722,286

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Solution

The third proportional to 333,063 and 722,286 is: 1,566,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,063 : 722,286 = 722,286 : x
  2. Step 2: Convert to fraction form
    333,063/722,286 = 722,286/x
  3. Step 3: Cross multiply
    333,063x = 722,286 × 722,286
  4. Step 4: Simplify right side
    333,063x = 521,697,065,796
  5. Step 5: Solve for x
    x = 521,697,065,796/333,063
  6. Step 6: Final answer
    x = 1,566,361.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.