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Finding the Third Proportional to 368,966 and 556,836

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Solution

The third proportional to 368,966 and 556,836 is: 840,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,966 : 556,836 = 556,836 : x
  2. Step 2: Convert to fraction form
    368,966/556,836 = 556,836/x
  3. Step 3: Cross multiply
    368,966x = 556,836 × 556,836
  4. Step 4: Simplify right side
    368,966x = 310,066,330,896
  5. Step 5: Solve for x
    x = 310,066,330,896/368,966
  6. Step 6: Final answer
    x = 840,365.59

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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.