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Finding the Third Proportional to 186,974 and 405,496

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Solution

The third proportional to 186,974 and 405,496 is: 879,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,974 : 405,496 = 405,496 : x
  2. Step 2: Convert to fraction form
    186,974/405,496 = 405,496/x
  3. Step 3: Cross multiply
    186,974x = 405,496 × 405,496
  4. Step 4: Simplify right side
    186,974x = 164,427,006,016
  5. Step 5: Solve for x
    x = 164,427,006,016/186,974
  6. Step 6: Final answer
    x = 879,411.07

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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.