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Finding the Third Proportional to 334,752 and 722,064

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Solution

The third proportional to 334,752 and 722,064 is: 1,557,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,752 : 722,064 = 722,064 : x
  2. Step 2: Convert to fraction form
    334,752/722,064 = 722,064/x
  3. Step 3: Cross multiply
    334,752x = 722,064 × 722,064
  4. Step 4: Simplify right side
    334,752x = 521,376,420,096
  5. Step 5: Solve for x
    x = 521,376,420,096/334,752
  6. Step 6: Final answer
    x = 1,557,500.54

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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.