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Finding the Third Proportional to 411,348 and 621,392

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Solution

The third proportional to 411,348 and 621,392 is: 938,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,348 : 621,392 = 621,392 : x
  2. Step 2: Convert to fraction form
    411,348/621,392 = 621,392/x
  3. Step 3: Cross multiply
    411,348x = 621,392 × 621,392
  4. Step 4: Simplify right side
    411,348x = 386,128,017,664
  5. Step 5: Solve for x
    x = 386,128,017,664/411,348
  6. Step 6: Final answer
    x = 938,689.43

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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.