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Finding the Third Proportional to 352,682 and 529,020

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Solution

The third proportional to 352,682 and 529,020 is: 793,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,682 : 529,020 = 529,020 : x
  2. Step 2: Convert to fraction form
    352,682/529,020 = 529,020/x
  3. Step 3: Cross multiply
    352,682x = 529,020 × 529,020
  4. Step 4: Simplify right side
    352,682x = 279,862,160,400
  5. Step 5: Solve for x
    x = 279,862,160,400/352,682
  6. Step 6: Final answer
    x = 793,525.50

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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.