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Finding the Third Proportional to 411,420 and 621,504

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Solution

The third proportional to 411,420 and 621,504 is: 938,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,420 : 621,504 = 621,504 : x
  2. Step 2: Convert to fraction form
    411,420/621,504 = 621,504/x
  3. Step 3: Cross multiply
    411,420x = 621,504 × 621,504
  4. Step 4: Simplify right side
    411,420x = 386,267,222,016
  5. Step 5: Solve for x
    x = 386,267,222,016/411,420
  6. Step 6: Final answer
    x = 938,863.50

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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.