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Finding the Third Proportional to 355,326 and 469,485

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Solution

The third proportional to 355,326 and 469,485 is: 620,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,326 : 469,485 = 469,485 : x
  2. Step 2: Convert to fraction form
    355,326/469,485 = 469,485/x
  3. Step 3: Cross multiply
    355,326x = 469,485 × 469,485
  4. Step 4: Simplify right side
    355,326x = 220,416,165,225
  5. Step 5: Solve for x
    x = 220,416,165,225/355,326
  6. Step 6: Final answer
    x = 620,320.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.