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Finding the Third Proportional to 201,340.69 and 441,432.28

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Solution

The third proportional to 201,340.69 and 441,432.28 is: 967,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,340.69 : 441,432.28 = 441,432.28 : x
  2. Step 2: Convert to fraction form
    201,340.69/441,432.28 = 441,432.28/x
  3. Step 3: Cross multiply
    201,340.69x = 441,432.28 × 441,432.28
  4. Step 4: Simplify right side
    201,340.69x = 194,862,458,929.58
  5. Step 5: Solve for x
    x = 194,862,458,929.58/201,340.69
  6. Step 6: Final answer
    x = 967,824.54

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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.