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Finding the Third Proportional to 623,884.50 and 991,716.75

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Solution

The third proportional to 623,884.50 and 991,716.75 is: 1,576,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,884.50 : 991,716.75 = 991,716.75 : x
  2. Step 2: Convert to fraction form
    623,884.50/991,716.75 = 991,716.75/x
  3. Step 3: Cross multiply
    623,884.50x = 991,716.75 × 991,716.75
  4. Step 4: Simplify right side
    623,884.50x = 983,502,112,230.56
  5. Step 5: Solve for x
    x = 983,502,112,230.56/623,884.50
  6. Step 6: Final answer
    x = 1,576,416.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.