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Finding the Third Proportional to 318,140.44 and 681,814.69

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Solution

The third proportional to 318,140.44 and 681,814.69 is: 1,461,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,140.44 : 681,814.69 = 681,814.69 : x
  2. Step 2: Convert to fraction form
    318,140.44/681,814.69 = 681,814.69/x
  3. Step 3: Cross multiply
    318,140.44x = 681,814.69 × 681,814.69
  4. Step 4: Simplify right side
    318,140.44x = 464,871,268,090.72
  5. Step 5: Solve for x
    x = 464,871,268,090.72/318,140.44
  6. Step 6: Final answer
    x = 1,461,214.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.