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Finding the Third Proportional to 328,027.50 and 705,505.50

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Solution

The third proportional to 328,027.50 and 705,505.50 is: 1,517,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,027.50 : 705,505.50 = 705,505.50 : x
  2. Step 2: Convert to fraction form
    328,027.50/705,505.50 = 705,505.50/x
  3. Step 3: Cross multiply
    328,027.50x = 705,505.50 × 705,505.50
  4. Step 4: Simplify right side
    328,027.50x = 497,738,010,530.25
  5. Step 5: Solve for x
    x = 497,738,010,530.25/328,027.50
  6. Step 6: Final answer
    x = 1,517,366.72

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Why These Related Problems?

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