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Finding the Third Proportional to 353,182 and 469,994

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Solution

The third proportional to 353,182 and 469,994 is: 625,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,182 : 469,994 = 469,994 : x
  2. Step 2: Convert to fraction form
    353,182/469,994 = 469,994/x
  3. Step 3: Cross multiply
    353,182x = 469,994 × 469,994
  4. Step 4: Simplify right side
    353,182x = 220,894,360,036
  5. Step 5: Solve for x
    x = 220,894,360,036/353,182
  6. Step 6: Final answer
    x = 625,440.59

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.