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Finding the Third Proportional to 406,232 and 880,201

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Solution

The third proportional to 406,232 and 880,201 is: 1,907,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,232 : 880,201 = 880,201 : x
  2. Step 2: Convert to fraction form
    406,232/880,201 = 880,201/x
  3. Step 3: Cross multiply
    406,232x = 880,201 × 880,201
  4. Step 4: Simplify right side
    406,232x = 774,753,800,401
  5. Step 5: Solve for x
    x = 774,753,800,401/406,232
  6. Step 6: Final answer
    x = 1,907,170.78

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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.