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Finding the Third Proportional to 328,226 and 706,671.50

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Solution

The third proportional to 328,226 and 706,671.50 is: 1,521,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,226 : 706,671.50 = 706,671.50 : x
  2. Step 2: Convert to fraction form
    328,226/706,671.50 = 706,671.50/x
  3. Step 3: Cross multiply
    328,226x = 706,671.50 × 706,671.50
  4. Step 4: Simplify right side
    328,226x = 499,384,608,912.25
  5. Step 5: Solve for x
    x = 499,384,608,912.25/328,226
  6. Step 6: Final answer
    x = 1,521,465.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.