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Finding the Third Proportional to 353,116 and 532,974

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Solution

The third proportional to 353,116 and 532,974 is: 804,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,116 : 532,974 = 532,974 : x
  2. Step 2: Convert to fraction form
    353,116/532,974 = 532,974/x
  3. Step 3: Cross multiply
    353,116x = 532,974 × 532,974
  4. Step 4: Simplify right side
    353,116x = 284,061,284,676
  5. Step 5: Solve for x
    x = 284,061,284,676/353,116
  6. Step 6: Final answer
    x = 804,441.84

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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.