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Finding the Third Proportional to 368,966 and 556,837

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Solution

The third proportional to 368,966 and 556,837 is: 840,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,966 : 556,837 = 556,837 : x
  2. Step 2: Convert to fraction form
    368,966/556,837 = 556,837/x
  3. Step 3: Cross multiply
    368,966x = 556,837 × 556,837
  4. Step 4: Simplify right side
    368,966x = 310,067,444,569
  5. Step 5: Solve for x
    x = 310,067,444,569/368,966
  6. Step 6: Final answer
    x = 840,368.61

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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.