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Finding the Third Proportional to 632,914.50 and 845,467.50

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Solution

The third proportional to 632,914.50 and 845,467.50 is: 1,129,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,914.50 : 845,467.50 = 845,467.50 : x
  2. Step 2: Convert to fraction form
    632,914.50/845,467.50 = 845,467.50/x
  3. Step 3: Cross multiply
    632,914.50x = 845,467.50 × 845,467.50
  4. Step 4: Simplify right side
    632,914.50x = 714,815,293,556.25
  5. Step 5: Solve for x
    x = 714,815,293,556.25/632,914.50
  6. Step 6: Final answer
    x = 1,129,402.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.