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Finding the Third Proportional to 613,401.75 and 931,140

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Solution

The third proportional to 613,401.75 and 931,140 is: 1,413,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,401.75 : 931,140 = 931,140 : x
  2. Step 2: Convert to fraction form
    613,401.75/931,140 = 931,140/x
  3. Step 3: Cross multiply
    613,401.75x = 931,140 × 931,140
  4. Step 4: Simplify right side
    613,401.75x = 867,021,699,600
  5. Step 5: Solve for x
    x = 867,021,699,600/613,401.75
  6. Step 6: Final answer
    x = 1,413,464.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.