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Finding the Third Proportional to 294,286 and 466,305

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Solution

The third proportional to 294,286 and 466,305 is: 738,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,286 : 466,305 = 466,305 : x
  2. Step 2: Convert to fraction form
    294,286/466,305 = 466,305/x
  3. Step 3: Cross multiply
    294,286x = 466,305 × 466,305
  4. Step 4: Simplify right side
    294,286x = 217,440,353,025
  5. Step 5: Solve for x
    x = 217,440,353,025/294,286
  6. Step 6: Final answer
    x = 738,874.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.