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Finding the Third Proportional to 352,224 and 761,872

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Solution

The third proportional to 352,224 and 761,872 is: 1,647,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,224 : 761,872 = 761,872 : x
  2. Step 2: Convert to fraction form
    352,224/761,872 = 761,872/x
  3. Step 3: Cross multiply
    352,224x = 761,872 × 761,872
  4. Step 4: Simplify right side
    352,224x = 580,448,944,384
  5. Step 5: Solve for x
    x = 580,448,944,384/352,224
  6. Step 6: Final answer
    x = 1,647,953.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.