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Finding the Third Proportional to 352,542 and 529,594

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Solution

The third proportional to 352,542 and 529,594 is: 795,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,542 : 529,594 = 529,594 : x
  2. Step 2: Convert to fraction form
    352,542/529,594 = 529,594/x
  3. Step 3: Cross multiply
    352,542x = 529,594 × 529,594
  4. Step 4: Simplify right side
    352,542x = 280,469,804,836
  5. Step 5: Solve for x
    x = 280,469,804,836/352,542
  6. Step 6: Final answer
    x = 795,564.23

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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.