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Finding the Third Proportional to 618,321 and 983,583.50

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Solution

The third proportional to 618,321 and 983,583.50 is: 1,564,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,321 : 983,583.50 = 983,583.50 : x
  2. Step 2: Convert to fraction form
    618,321/983,583.50 = 983,583.50/x
  3. Step 3: Cross multiply
    618,321x = 983,583.50 × 983,583.50
  4. Step 4: Simplify right side
    618,321x = 967,436,501,472.25
  5. Step 5: Solve for x
    x = 967,436,501,472.25/618,321
  6. Step 6: Final answer
    x = 1,564,618.54

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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.