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Finding the Third Proportional to 352,515 and 529,554

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Solution

The third proportional to 352,515 and 529,554 is: 795,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,515 : 529,554 = 529,554 : x
  2. Step 2: Convert to fraction form
    352,515/529,554 = 529,554/x
  3. Step 3: Cross multiply
    352,515x = 529,554 × 529,554
  4. Step 4: Simplify right side
    352,515x = 280,427,438,916
  5. Step 5: Solve for x
    x = 280,427,438,916/352,515
  6. Step 6: Final answer
    x = 795,504.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.