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Finding the Third Proportional to 294,284 and 466,302

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Solution

The third proportional to 294,284 and 466,302 is: 738,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,284 : 466,302 = 466,302 : x
  2. Step 2: Convert to fraction form
    294,284/466,302 = 466,302/x
  3. Step 3: Cross multiply
    294,284x = 466,302 × 466,302
  4. Step 4: Simplify right side
    294,284x = 217,437,555,204
  5. Step 5: Solve for x
    x = 217,437,555,204/294,284
  6. Step 6: Final answer
    x = 738,869.78

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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.