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Finding the Third Proportional to 355,322 and 724,917

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Solution

The third proportional to 355,322 and 724,917 is: 1,478,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,322 : 724,917 = 724,917 : x
  2. Step 2: Convert to fraction form
    355,322/724,917 = 724,917/x
  3. Step 3: Cross multiply
    355,322x = 724,917 × 724,917
  4. Step 4: Simplify right side
    355,322x = 525,504,656,889
  5. Step 5: Solve for x
    x = 525,504,656,889/355,322
  6. Step 6: Final answer
    x = 1,478,953.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.