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Finding the Third Proportional to 411,192 and 635,464

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Solution

The third proportional to 411,192 and 635,464 is: 982,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,192 : 635,464 = 635,464 : x
  2. Step 2: Convert to fraction form
    411,192/635,464 = 635,464/x
  3. Step 3: Cross multiply
    411,192x = 635,464 × 635,464
  4. Step 4: Simplify right side
    411,192x = 403,814,495,296
  5. Step 5: Solve for x
    x = 403,814,495,296/411,192
  6. Step 6: Final answer
    x = 982,058.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.