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Finding the Third Proportional to 436,821.75 and 934,364.25

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Solution

The third proportional to 436,821.75 and 934,364.25 is: 1,998,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,821.75 : 934,364.25 = 934,364.25 : x
  2. Step 2: Convert to fraction form
    436,821.75/934,364.25 = 934,364.25/x
  3. Step 3: Cross multiply
    436,821.75x = 934,364.25 × 934,364.25
  4. Step 4: Simplify right side
    436,821.75x = 873,036,551,678.06
  5. Step 5: Solve for x
    x = 873,036,551,678.06/436,821.75
  6. Step 6: Final answer
    x = 1,998,610.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.