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Finding the Third Proportional to 763,876.50 and 1,680,290.25

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Solution

The third proportional to 763,876.50 and 1,680,290.25 is: 3,696,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,876.50 : 1,680,290.25 = 1,680,290.25 : x
  2. Step 2: Convert to fraction form
    763,876.50/1,680,290.25 = 1,680,290.25/x
  3. Step 3: Cross multiply
    763,876.50x = 1,680,290.25 × 1,680,290.25
  4. Step 4: Simplify right side
    763,876.50x = 2,823,375,324,245.06
  5. Step 5: Solve for x
    x = 2,823,375,324,245.06/763,876.50
  6. Step 6: Final answer
    x = 3,696,114.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.