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Finding the Third Proportional to 229,378 and 347,523

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Solution

The third proportional to 229,378 and 347,523 is: 526,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,378 : 347,523 = 347,523 : x
  2. Step 2: Convert to fraction form
    229,378/347,523 = 347,523/x
  3. Step 3: Cross multiply
    229,378x = 347,523 × 347,523
  4. Step 4: Simplify right side
    229,378x = 120,772,235,529
  5. Step 5: Solve for x
    x = 120,772,235,529/229,378
  6. Step 6: Final answer
    x = 526,520.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.