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Finding the Third Proportional to 332,437 and 734,856

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Solution

The third proportional to 332,437 and 734,856 is: 1,624,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,437 : 734,856 = 734,856 : x
  2. Step 2: Convert to fraction form
    332,437/734,856 = 734,856/x
  3. Step 3: Cross multiply
    332,437x = 734,856 × 734,856
  4. Step 4: Simplify right side
    332,437x = 540,013,340,736
  5. Step 5: Solve for x
    x = 540,013,340,736/332,437
  6. Step 6: Final answer
    x = 1,624,408.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.