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Finding the Third Proportional to 186,963 and 405,471

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Solution

The third proportional to 186,963 and 405,471 is: 879,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,963 : 405,471 = 405,471 : x
  2. Step 2: Convert to fraction form
    186,963/405,471 = 405,471/x
  3. Step 3: Cross multiply
    186,963x = 405,471 × 405,471
  4. Step 4: Simplify right side
    186,963x = 164,406,731,841
  5. Step 5: Solve for x
    x = 164,406,731,841/186,963
  6. Step 6: Final answer
    x = 879,354.37

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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.