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Finding the Third Proportional to 411,352 and 621,398

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Solution

The third proportional to 411,352 and 621,398 is: 938,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,352 : 621,398 = 621,398 : x
  2. Step 2: Convert to fraction form
    411,352/621,398 = 621,398/x
  3. Step 3: Cross multiply
    411,352x = 621,398 × 621,398
  4. Step 4: Simplify right side
    411,352x = 386,135,474,404
  5. Step 5: Solve for x
    x = 386,135,474,404/411,352
  6. Step 6: Final answer
    x = 938,698.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.