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Finding the Third Proportional to 603,201 and 890,766

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Solution

The third proportional to 603,201 and 890,766 is: 1,315,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,201 : 890,766 = 890,766 : x
  2. Step 2: Convert to fraction form
    603,201/890,766 = 890,766/x
  3. Step 3: Cross multiply
    603,201x = 890,766 × 890,766
  4. Step 4: Simplify right side
    603,201x = 793,464,066,756
  5. Step 5: Solve for x
    x = 793,464,066,756/603,201
  6. Step 6: Final answer
    x = 1,315,422.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.