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Finding the Third Proportional to 174,974 and 409,731

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Solution

The third proportional to 174,974 and 409,731 is: 959,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,974 : 409,731 = 409,731 : x
  2. Step 2: Convert to fraction form
    174,974/409,731 = 409,731/x
  3. Step 3: Cross multiply
    174,974x = 409,731 × 409,731
  4. Step 4: Simplify right side
    174,974x = 167,879,492,361
  5. Step 5: Solve for x
    x = 167,879,492,361/174,974
  6. Step 6: Final answer
    x = 959,453.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.