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Finding the Third Proportional to 438,452.50 and 962,247.50

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Solution

The third proportional to 438,452.50 and 962,247.50 is: 2,111,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,452.50 : 962,247.50 = 962,247.50 : x
  2. Step 2: Convert to fraction form
    438,452.50/962,247.50 = 962,247.50/x
  3. Step 3: Cross multiply
    438,452.50x = 962,247.50 × 962,247.50
  4. Step 4: Simplify right side
    438,452.50x = 925,920,251,256.25
  5. Step 5: Solve for x
    x = 925,920,251,256.25/438,452.50
  6. Step 6: Final answer
    x = 2,111,791.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.