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Finding the Third Proportional to 591,072.75 and 936,092.25

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Solution

The third proportional to 591,072.75 and 936,092.25 is: 1,482,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,072.75 : 936,092.25 = 936,092.25 : x
  2. Step 2: Convert to fraction form
    591,072.75/936,092.25 = 936,092.25/x
  3. Step 3: Cross multiply
    591,072.75x = 936,092.25 × 936,092.25
  4. Step 4: Simplify right side
    591,072.75x = 876,268,700,510.06
  5. Step 5: Solve for x
    x = 876,268,700,510.06/591,072.75
  6. Step 6: Final answer
    x = 1,482,505.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.