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Finding the Third Proportional to 406,059.75 and 465,108.75

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Solution

The third proportional to 406,059.75 and 465,108.75 is: 532,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,059.75 : 465,108.75 = 465,108.75 : x
  2. Step 2: Convert to fraction form
    406,059.75/465,108.75 = 465,108.75/x
  3. Step 3: Cross multiply
    406,059.75x = 465,108.75 × 465,108.75
  4. Step 4: Simplify right side
    406,059.75x = 216,326,149,326.56
  5. Step 5: Solve for x
    x = 216,326,149,326.56/406,059.75
  6. Step 6: Final answer
    x = 532,744.63

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.