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Finding the Third Proportional to 338,991 and 460,392

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Solution

The third proportional to 338,991 and 460,392 is: 625,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,991 : 460,392 = 460,392 : x
  2. Step 2: Convert to fraction form
    338,991/460,392 = 460,392/x
  3. Step 3: Cross multiply
    338,991x = 460,392 × 460,392
  4. Step 4: Simplify right side
    338,991x = 211,960,793,664
  5. Step 5: Solve for x
    x = 211,960,793,664/338,991
  6. Step 6: Final answer
    x = 625,269.68

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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.