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Finding the Third Proportional to 430,438.50 and 545,766.75

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Solution

The third proportional to 430,438.50 and 545,766.75 is: 691,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,438.50 : 545,766.75 = 545,766.75 : x
  2. Step 2: Convert to fraction form
    430,438.50/545,766.75 = 545,766.75/x
  3. Step 3: Cross multiply
    430,438.50x = 545,766.75 × 545,766.75
  4. Step 4: Simplify right side
    430,438.50x = 297,861,345,405.56
  5. Step 5: Solve for x
    x = 297,861,345,405.56/430,438.50
  6. Step 6: Final answer
    x = 691,995.13

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.