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Finding the Third Proportional to 685,075.50 and 957,774

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Solution

The third proportional to 685,075.50 and 957,774 is: 1,339,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,075.50 : 957,774 = 957,774 : x
  2. Step 2: Convert to fraction form
    685,075.50/957,774 = 957,774/x
  3. Step 3: Cross multiply
    685,075.50x = 957,774 × 957,774
  4. Step 4: Simplify right side
    685,075.50x = 917,331,035,076
  5. Step 5: Solve for x
    x = 917,331,035,076/685,075.50
  6. Step 6: Final answer
    x = 1,339,021.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.