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Finding the Third Proportional to 406,234 and 880,266

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Solution

The third proportional to 406,234 and 880,266 is: 1,907,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,234 : 880,266 = 880,266 : x
  2. Step 2: Convert to fraction form
    406,234/880,266 = 880,266/x
  3. Step 3: Cross multiply
    406,234x = 880,266 × 880,266
  4. Step 4: Simplify right side
    406,234x = 774,868,230,756
  5. Step 5: Solve for x
    x = 774,868,230,756/406,234
  6. Step 6: Final answer
    x = 1,907,443.08

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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.