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Finding the Third Proportional to 294,282 and 466,299

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Solution

The third proportional to 294,282 and 466,299 is: 738,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,282 : 466,299 = 466,299 : x
  2. Step 2: Convert to fraction form
    294,282/466,299 = 466,299/x
  3. Step 3: Cross multiply
    294,282x = 466,299 × 466,299
  4. Step 4: Simplify right side
    294,282x = 217,434,757,401
  5. Step 5: Solve for x
    x = 217,434,757,401/294,282
  6. Step 6: Final answer
    x = 738,865.30

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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.