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Finding the Third Proportional to 352,800 and 532,441.50

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Solution

The third proportional to 352,800 and 532,441.50 is: 803,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,800 : 532,441.50 = 532,441.50 : x
  2. Step 2: Convert to fraction form
    352,800/532,441.50 = 532,441.50/x
  3. Step 3: Cross multiply
    352,800x = 532,441.50 × 532,441.50
  4. Step 4: Simplify right side
    352,800x = 283,493,950,922.25
  5. Step 5: Solve for x
    x = 283,493,950,922.25/352,800
  6. Step 6: Final answer
    x = 803,554.28

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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.