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Finding the Third Proportional to 410,530 and 653,738

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Solution

The third proportional to 410,530 and 653,738 is: 1,041,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,530 : 653,738 = 653,738 : x
  2. Step 2: Convert to fraction form
    410,530/653,738 = 653,738/x
  3. Step 3: Cross multiply
    410,530x = 653,738 × 653,738
  4. Step 4: Simplify right side
    410,530x = 427,373,372,644
  5. Step 5: Solve for x
    x = 427,373,372,644/410,530
  6. Step 6: Final answer
    x = 1,041,028.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.