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Finding the Third Proportional to 430,440.75 and 545,771.25

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Solution

The third proportional to 430,440.75 and 545,771.25 is: 692,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,440.75 : 545,771.25 = 545,771.25 : x
  2. Step 2: Convert to fraction form
    430,440.75/545,771.25 = 545,771.25/x
  3. Step 3: Cross multiply
    430,440.75x = 545,771.25 × 545,771.25
  4. Step 4: Simplify right side
    430,440.75x = 297,866,257,326.56
  5. Step 5: Solve for x
    x = 297,866,257,326.56/430,440.75
  6. Step 6: Final answer
    x = 692,002.92

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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.