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Finding the Third Proportional to 352,004 and 466,762

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Solution

The third proportional to 352,004 and 466,762 is: 618,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,004 : 466,762 = 466,762 : x
  2. Step 2: Convert to fraction form
    352,004/466,762 = 466,762/x
  3. Step 3: Cross multiply
    352,004x = 466,762 × 466,762
  4. Step 4: Simplify right side
    352,004x = 217,866,764,644
  5. Step 5: Solve for x
    x = 217,866,764,644/352,004
  6. Step 6: Final answer
    x = 618,932.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.