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Finding the Third Proportional to 328,286.25 and 705,614.63

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Solution

The third proportional to 328,286.25 and 705,614.63 is: 1,516,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,286.25 : 705,614.63 = 705,614.63 : x
  2. Step 2: Convert to fraction form
    328,286.25/705,614.63 = 705,614.63/x
  3. Step 3: Cross multiply
    328,286.25x = 705,614.63 × 705,614.63
  4. Step 4: Simplify right side
    328,286.25x = 497,891,999,013.89
  5. Step 5: Solve for x
    x = 497,891,999,013.89/328,286.25
  6. Step 6: Final answer
    x = 1,516,639.82

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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.