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Finding the Third Proportional to 332,984 and 713,608

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Solution

The third proportional to 332,984 and 713,608 is: 1,529,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,984 : 713,608 = 713,608 : x
  2. Step 2: Convert to fraction form
    332,984/713,608 = 713,608/x
  3. Step 3: Cross multiply
    332,984x = 713,608 × 713,608
  4. Step 4: Simplify right side
    332,984x = 509,236,377,664
  5. Step 5: Solve for x
    x = 509,236,377,664/332,984
  6. Step 6: Final answer
    x = 1,529,311.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.