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Finding the Third Proportional to 329,884 and 545,916

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Solution

The third proportional to 329,884 and 545,916 is: 903,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,884 : 545,916 = 545,916 : x
  2. Step 2: Convert to fraction form
    329,884/545,916 = 545,916/x
  3. Step 3: Cross multiply
    329,884x = 545,916 × 545,916
  4. Step 4: Simplify right side
    329,884x = 298,024,279,056
  5. Step 5: Solve for x
    x = 298,024,279,056/329,884
  6. Step 6: Final answer
    x = 903,421.44

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.