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Finding the Third Proportional to 305,404.50 and 475,556.25

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Solution

The third proportional to 305,404.50 and 475,556.25 is: 740,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,404.50 : 475,556.25 = 475,556.25 : x
  2. Step 2: Convert to fraction form
    305,404.50/475,556.25 = 475,556.25/x
  3. Step 3: Cross multiply
    305,404.50x = 475,556.25 × 475,556.25
  4. Step 4: Simplify right side
    305,404.50x = 226,153,746,914.06
  5. Step 5: Solve for x
    x = 226,153,746,914.06/305,404.50
  6. Step 6: Final answer
    x = 740,505.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.