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Finding the Third Proportional to 333,860 and 722,056

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Solution

The third proportional to 333,860 and 722,056 is: 1,561,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,860 : 722,056 = 722,056 : x
  2. Step 2: Convert to fraction form
    333,860/722,056 = 722,056/x
  3. Step 3: Cross multiply
    333,860x = 722,056 × 722,056
  4. Step 4: Simplify right side
    333,860x = 521,364,867,136
  5. Step 5: Solve for x
    x = 521,364,867,136/333,860
  6. Step 6: Final answer
    x = 1,561,627.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.