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Finding the Third Proportional to 183,432 and 401,424

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Solution

The third proportional to 183,432 and 401,424 is: 878,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,432 : 401,424 = 401,424 : x
  2. Step 2: Convert to fraction form
    183,432/401,424 = 401,424/x
  3. Step 3: Cross multiply
    183,432x = 401,424 × 401,424
  4. Step 4: Simplify right side
    183,432x = 161,141,227,776
  5. Step 5: Solve for x
    x = 161,141,227,776/183,432
  6. Step 6: Final answer
    x = 878,479.37

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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.