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Finding the Third Proportional to 352,960 and 771,529

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Solution

The third proportional to 352,960 and 771,529 is: 1,686,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,960 : 771,529 = 771,529 : x
  2. Step 2: Convert to fraction form
    352,960/771,529 = 771,529/x
  3. Step 3: Cross multiply
    352,960x = 771,529 × 771,529
  4. Step 4: Simplify right side
    352,960x = 595,256,997,841
  5. Step 5: Solve for x
    x = 595,256,997,841/352,960
  6. Step 6: Final answer
    x = 1,686,471.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.