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Finding the Third Proportional to 415,376.25 and 893,932.50

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Solution

The third proportional to 415,376.25 and 893,932.50 is: 1,923,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,376.25 : 893,932.50 = 893,932.50 : x
  2. Step 2: Convert to fraction form
    415,376.25/893,932.50 = 893,932.50/x
  3. Step 3: Cross multiply
    415,376.25x = 893,932.50 × 893,932.50
  4. Step 4: Simplify right side
    415,376.25x = 799,115,314,556.25
  5. Step 5: Solve for x
    x = 799,115,314,556.25/415,376.25
  6. Step 6: Final answer
    x = 1,923,834.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.