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Finding the Third Proportional to 383,953.50 and 516,880.50

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Solution

The third proportional to 383,953.50 and 516,880.50 is: 695,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,953.50 : 516,880.50 = 516,880.50 : x
  2. Step 2: Convert to fraction form
    383,953.50/516,880.50 = 516,880.50/x
  3. Step 3: Cross multiply
    383,953.50x = 516,880.50 × 516,880.50
  4. Step 4: Simplify right side
    383,953.50x = 267,165,451,280.25
  5. Step 5: Solve for x
    x = 267,165,451,280.25/383,953.50
  6. Step 6: Final answer
    x = 695,827.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.