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Finding the Third Proportional to 618,318 and 983,578.50

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Solution

The third proportional to 618,318 and 983,578.50 is: 1,564,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,318 : 983,578.50 = 983,578.50 : x
  2. Step 2: Convert to fraction form
    618,318/983,578.50 = 983,578.50/x
  3. Step 3: Cross multiply
    618,318x = 983,578.50 × 983,578.50
  4. Step 4: Simplify right side
    618,318x = 967,426,665,662.25
  5. Step 5: Solve for x
    x = 967,426,665,662.25/618,318
  6. Step 6: Final answer
    x = 1,564,610.23

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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.