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Finding the Third Proportional to 352,442 and 762,232

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Solution

The third proportional to 352,442 and 762,232 is: 1,648,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,442 : 762,232 = 762,232 : x
  2. Step 2: Convert to fraction form
    352,442/762,232 = 762,232/x
  3. Step 3: Cross multiply
    352,442x = 762,232 × 762,232
  4. Step 4: Simplify right side
    352,442x = 580,997,621,824
  5. Step 5: Solve for x
    x = 580,997,621,824/352,442
  6. Step 6: Final answer
    x = 1,648,491.44

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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.