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Finding the Third Proportional to 328,223.25 and 706,666.50

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Solution

The third proportional to 328,223.25 and 706,666.50 is: 1,521,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,223.25 : 706,666.50 = 706,666.50 : x
  2. Step 2: Convert to fraction form
    328,223.25/706,666.50 = 706,666.50/x
  3. Step 3: Cross multiply
    328,223.25x = 706,666.50 × 706,666.50
  4. Step 4: Simplify right side
    328,223.25x = 499,377,542,222.25
  5. Step 5: Solve for x
    x = 499,377,542,222.25/328,223.25
  6. Step 6: Final answer
    x = 1,521,456.94

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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.