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Finding the Third Proportional to 227,064 and 486,750

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Solution

The third proportional to 227,064 and 486,750 is: 1,043,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,064 : 486,750 = 486,750 : x
  2. Step 2: Convert to fraction form
    227,064/486,750 = 486,750/x
  3. Step 3: Cross multiply
    227,064x = 486,750 × 486,750
  4. Step 4: Simplify right side
    227,064x = 236,925,562,500
  5. Step 5: Solve for x
    x = 236,925,562,500/227,064
  6. Step 6: Final answer
    x = 1,043,430.76

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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.