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Finding the Third Proportional to 294,519 and 628,383

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Solution

The third proportional to 294,519 and 628,383 is: 1,340,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,519 : 628,383 = 628,383 : x
  2. Step 2: Convert to fraction form
    294,519/628,383 = 628,383/x
  3. Step 3: Cross multiply
    294,519x = 628,383 × 628,383
  4. Step 4: Simplify right side
    294,519x = 394,865,194,689
  5. Step 5: Solve for x
    x = 394,865,194,689/294,519
  6. Step 6: Final answer
    x = 1,340,712.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.