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Finding the Third Proportional to 393,916.50 and 864,420.75

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Solution

The third proportional to 393,916.50 and 864,420.75 is: 1,896,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,916.50 : 864,420.75 = 864,420.75 : x
  2. Step 2: Convert to fraction form
    393,916.50/864,420.75 = 864,420.75/x
  3. Step 3: Cross multiply
    393,916.50x = 864,420.75 × 864,420.75
  4. Step 4: Simplify right side
    393,916.50x = 747,223,233,030.56
  5. Step 5: Solve for x
    x = 747,223,233,030.56/393,916.50
  6. Step 6: Final answer
    x = 1,896,907.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.