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Finding the Third Proportional to 329,530 and 493,160

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Solution

The third proportional to 329,530 and 493,160 is: 738,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,530 : 493,160 = 493,160 : x
  2. Step 2: Convert to fraction form
    329,530/493,160 = 493,160/x
  3. Step 3: Cross multiply
    329,530x = 493,160 × 493,160
  4. Step 4: Simplify right side
    329,530x = 243,206,785,600
  5. Step 5: Solve for x
    x = 243,206,785,600/329,530
  6. Step 6: Final answer
    x = 738,041.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.