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Finding the Third Proportional to 685,858.50 and 925,188.75

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Solution

The third proportional to 685,858.50 and 925,188.75 is: 1,248,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,858.50 : 925,188.75 = 925,188.75 : x
  2. Step 2: Convert to fraction form
    685,858.50/925,188.75 = 925,188.75/x
  3. Step 3: Cross multiply
    685,858.50x = 925,188.75 × 925,188.75
  4. Step 4: Simplify right side
    685,858.50x = 855,974,223,126.56
  5. Step 5: Solve for x
    x = 855,974,223,126.56/685,858.50
  6. Step 6: Final answer
    x = 1,248,033.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.