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Finding the Third Proportional to 315,568.50 and 684,639

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Solution

The third proportional to 315,568.50 and 684,639 is: 1,485,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,568.50 : 684,639 = 684,639 : x
  2. Step 2: Convert to fraction form
    315,568.50/684,639 = 684,639/x
  3. Step 3: Cross multiply
    315,568.50x = 684,639 × 684,639
  4. Step 4: Simplify right side
    315,568.50x = 468,730,560,321
  5. Step 5: Solve for x
    x = 468,730,560,321/315,568.50
  6. Step 6: Final answer
    x = 1,485,352.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.