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Finding the Third Proportional to 288,064 and 628,132

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Solution

The third proportional to 288,064 and 628,132 is: 1,369,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,064 : 628,132 = 628,132 : x
  2. Step 2: Convert to fraction form
    288,064/628,132 = 628,132/x
  3. Step 3: Cross multiply
    288,064x = 628,132 × 628,132
  4. Step 4: Simplify right side
    288,064x = 394,549,809,424
  5. Step 5: Solve for x
    x = 394,549,809,424/288,064
  6. Step 6: Final answer
    x = 1,369,660.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.