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Finding the Third Proportional to 351,744 and 545,592

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Solution

The third proportional to 351,744 and 545,592 is: 846,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,744 : 545,592 = 545,592 : x
  2. Step 2: Convert to fraction form
    351,744/545,592 = 545,592/x
  3. Step 3: Cross multiply
    351,744x = 545,592 × 545,592
  4. Step 4: Simplify right side
    351,744x = 297,670,630,464
  5. Step 5: Solve for x
    x = 297,670,630,464/351,744
  6. Step 6: Final answer
    x = 846,270.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.