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Finding the Third Proportional to 406,236 and 880,269

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Solution

The third proportional to 406,236 and 880,269 is: 1,907,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,236 : 880,269 = 880,269 : x
  2. Step 2: Convert to fraction form
    406,236/880,269 = 880,269/x
  3. Step 3: Cross multiply
    406,236x = 880,269 × 880,269
  4. Step 4: Simplify right side
    406,236x = 774,873,512,361
  5. Step 5: Solve for x
    x = 774,873,512,361/406,236
  6. Step 6: Final answer
    x = 1,907,446.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.