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Finding the Third Proportional to 338,996 and 460,398

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Solution

The third proportional to 338,996 and 460,398 is: 625,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,996 : 460,398 = 460,398 : x
  2. Step 2: Convert to fraction form
    338,996/460,398 = 460,398/x
  3. Step 3: Cross multiply
    338,996x = 460,398 × 460,398
  4. Step 4: Simplify right side
    338,996x = 211,966,318,404
  5. Step 5: Solve for x
    x = 211,966,318,404/338,996
  6. Step 6: Final answer
    x = 625,276.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.