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Finding the Third Proportional to 326,199 and 487,780.50

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Solution

The third proportional to 326,199 and 487,780.50 is: 729,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,199 : 487,780.50 = 487,780.50 : x
  2. Step 2: Convert to fraction form
    326,199/487,780.50 = 487,780.50/x
  3. Step 3: Cross multiply
    326,199x = 487,780.50 × 487,780.50
  4. Step 4: Simplify right side
    326,199x = 237,929,816,180.25
  5. Step 5: Solve for x
    x = 237,929,816,180.25/326,199
  6. Step 6: Final answer
    x = 729,400.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.