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Finding the Third Proportional to 808,825.50 and 1,237,781.25

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Solution

The third proportional to 808,825.50 and 1,237,781.25 is: 1,894,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,825.50 : 1,237,781.25 = 1,237,781.25 : x
  2. Step 2: Convert to fraction form
    808,825.50/1,237,781.25 = 1,237,781.25/x
  3. Step 3: Cross multiply
    808,825.50x = 1,237,781.25 × 1,237,781.25
  4. Step 4: Simplify right side
    808,825.50x = 1,532,102,422,851.56
  5. Step 5: Solve for x
    x = 1,532,102,422,851.56/808,825.50
  6. Step 6: Final answer
    x = 1,894,231.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.