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Finding the Third Proportional to 334,380 and 722,059

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Solution

The third proportional to 334,380 and 722,059 is: 1,559,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,380 : 722,059 = 722,059 : x
  2. Step 2: Convert to fraction form
    334,380/722,059 = 722,059/x
  3. Step 3: Cross multiply
    334,380x = 722,059 × 722,059
  4. Step 4: Simplify right side
    334,380x = 521,369,199,481
  5. Step 5: Solve for x
    x = 521,369,199,481/334,380
  6. Step 6: Final answer
    x = 1,559,211.67

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Why These Related Problems?

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