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Finding the Third Proportional to 406,838 and 613,227

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Solution

The third proportional to 406,838 and 613,227 is: 924,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,838 : 613,227 = 613,227 : x
  2. Step 2: Convert to fraction form
    406,838/613,227 = 613,227/x
  3. Step 3: Cross multiply
    406,838x = 613,227 × 613,227
  4. Step 4: Simplify right side
    406,838x = 376,047,353,529
  5. Step 5: Solve for x
    x = 376,047,353,529/406,838
  6. Step 6: Final answer
    x = 924,317.18

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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.