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Finding the Third Proportional to 294,530 and 467,115

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Solution

The third proportional to 294,530 and 467,115 is: 740,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,530 : 467,115 = 467,115 : x
  2. Step 2: Convert to fraction form
    294,530/467,115 = 467,115/x
  3. Step 3: Cross multiply
    294,530x = 467,115 × 467,115
  4. Step 4: Simplify right side
    294,530x = 218,196,423,225
  5. Step 5: Solve for x
    x = 218,196,423,225/294,530
  6. Step 6: Final answer
    x = 740,829.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.