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Finding the Third Proportional to 682,632.50 and 918,954.75

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Solution

The third proportional to 682,632.50 and 918,954.75 is: 1,237,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,632.50 : 918,954.75 = 918,954.75 : x
  2. Step 2: Convert to fraction form
    682,632.50/918,954.75 = 918,954.75/x
  3. Step 3: Cross multiply
    682,632.50x = 918,954.75 × 918,954.75
  4. Step 4: Simplify right side
    682,632.50x = 844,477,832,547.56
  5. Step 5: Solve for x
    x = 844,477,832,547.56/682,632.50
  6. Step 6: Final answer
    x = 1,237,089.99

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