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Finding the Third Proportional to 288,212 and 460,425

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Solution

The third proportional to 288,212 and 460,425 is: 735,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,212 : 460,425 = 460,425 : x
  2. Step 2: Convert to fraction form
    288,212/460,425 = 460,425/x
  3. Step 3: Cross multiply
    288,212x = 460,425 × 460,425
  4. Step 4: Simplify right side
    288,212x = 211,991,180,625
  5. Step 5: Solve for x
    x = 211,991,180,625/288,212
  6. Step 6: Final answer
    x = 735,539.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.