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Finding the Third Proportional to 352,728 and 532,272

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Solution

The third proportional to 352,728 and 532,272 is: 803,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,728 : 532,272 = 532,272 : x
  2. Step 2: Convert to fraction form
    352,728/532,272 = 532,272/x
  3. Step 3: Cross multiply
    352,728x = 532,272 × 532,272
  4. Step 4: Simplify right side
    352,728x = 283,313,481,984
  5. Step 5: Solve for x
    x = 283,313,481,984/352,728
  6. Step 6: Final answer
    x = 803,206.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.