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Finding the Third Proportional to 204,240 and 446,352

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Solution

The third proportional to 204,240 and 446,352 is: 975,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,240 : 446,352 = 446,352 : x
  2. Step 2: Convert to fraction form
    204,240/446,352 = 446,352/x
  3. Step 3: Cross multiply
    204,240x = 446,352 × 446,352
  4. Step 4: Simplify right side
    204,240x = 199,230,107,904
  5. Step 5: Solve for x
    x = 199,230,107,904/204,240
  6. Step 6: Final answer
    x = 975,470.56

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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.