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Finding the Third Proportional to 230,852 and 494,550

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Solution

The third proportional to 230,852 and 494,550 is: 1,059,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,852 : 494,550 = 494,550 : x
  2. Step 2: Convert to fraction form
    230,852/494,550 = 494,550/x
  3. Step 3: Cross multiply
    230,852x = 494,550 × 494,550
  4. Step 4: Simplify right side
    230,852x = 244,579,702,500
  5. Step 5: Solve for x
    x = 244,579,702,500/230,852
  6. Step 6: Final answer
    x = 1,059,465.38

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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.