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Finding the Third Proportional to 355,673 and 533,523

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Solution

The third proportional to 355,673 and 533,523 is: 800,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,673 : 533,523 = 533,523 : x
  2. Step 2: Convert to fraction form
    355,673/533,523 = 533,523/x
  3. Step 3: Cross multiply
    355,673x = 533,523 × 533,523
  4. Step 4: Simplify right side
    355,673x = 284,646,791,529
  5. Step 5: Solve for x
    x = 284,646,791,529/355,673
  6. Step 6: Final answer
    x = 800,304.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.