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Finding the Third Proportional to 403,609.50 and 833,456.25

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Solution

The third proportional to 403,609.50 and 833,456.25 is: 1,721,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,609.50 : 833,456.25 = 833,456.25 : x
  2. Step 2: Convert to fraction form
    403,609.50/833,456.25 = 833,456.25/x
  3. Step 3: Cross multiply
    403,609.50x = 833,456.25 × 833,456.25
  4. Step 4: Simplify right side
    403,609.50x = 694,649,320,664.06
  5. Step 5: Solve for x
    x = 694,649,320,664.06/403,609.50
  6. Step 6: Final answer
    x = 1,721,092.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.