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Finding the Third Proportional to 326,211 and 476,728.50

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Solution

The third proportional to 326,211 and 476,728.50 is: 696,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,211 : 476,728.50 = 476,728.50 : x
  2. Step 2: Convert to fraction form
    326,211/476,728.50 = 476,728.50/x
  3. Step 3: Cross multiply
    326,211x = 476,728.50 × 476,728.50
  4. Step 4: Simplify right side
    326,211x = 227,270,062,712.25
  5. Step 5: Solve for x
    x = 227,270,062,712.25/326,211
  6. Step 6: Final answer
    x = 696,696.50

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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.