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Finding the Third Proportional to 406,692 and 613,238

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Solution

The third proportional to 406,692 and 613,238 is: 924,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,692 : 613,238 = 613,238 : x
  2. Step 2: Convert to fraction form
    406,692/613,238 = 613,238/x
  3. Step 3: Cross multiply
    406,692x = 613,238 × 613,238
  4. Step 4: Simplify right side
    406,692x = 376,060,844,644
  5. Step 5: Solve for x
    x = 376,060,844,644/406,692
  6. Step 6: Final answer
    x = 924,682.18

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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.