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Finding the Third Proportional to 185,420 and 406,916

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Solution

The third proportional to 185,420 and 406,916 is: 893,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,420 : 406,916 = 406,916 : x
  2. Step 2: Convert to fraction form
    185,420/406,916 = 406,916/x
  3. Step 3: Cross multiply
    185,420x = 406,916 × 406,916
  4. Step 4: Simplify right side
    185,420x = 165,580,631,056
  5. Step 5: Solve for x
    x = 165,580,631,056/185,420
  6. Step 6: Final answer
    x = 893,003.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.