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Finding the Third Proportional to 305,271 and 664,780.50

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Solution

The third proportional to 305,271 and 664,780.50 is: 1,447,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,271 : 664,780.50 = 664,780.50 : x
  2. Step 2: Convert to fraction form
    305,271/664,780.50 = 664,780.50/x
  3. Step 3: Cross multiply
    305,271x = 664,780.50 × 664,780.50
  4. Step 4: Simplify right side
    305,271x = 441,933,113,180.25
  5. Step 5: Solve for x
    x = 441,933,113,180.25/305,271
  6. Step 6: Final answer
    x = 1,447,674.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.