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Finding the Third Proportional to 342,322 and 500,806

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Solution

The third proportional to 342,322 and 500,806 is: 732,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,322 : 500,806 = 500,806 : x
  2. Step 2: Convert to fraction form
    342,322/500,806 = 500,806/x
  3. Step 3: Cross multiply
    342,322x = 500,806 × 500,806
  4. Step 4: Simplify right side
    342,322x = 250,806,649,636
  5. Step 5: Solve for x
    x = 250,806,649,636/342,322
  6. Step 6: Final answer
    x = 732,662.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.