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Finding the Third Proportional to 355,662 and 533,502

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Solution

The third proportional to 355,662 and 533,502 is: 800,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,662 : 533,502 = 533,502 : x
  2. Step 2: Convert to fraction form
    355,662/533,502 = 533,502/x
  3. Step 3: Cross multiply
    355,662x = 533,502 × 533,502
  4. Step 4: Simplify right side
    355,662x = 284,624,384,004
  5. Step 5: Solve for x
    x = 284,624,384,004/355,662
  6. Step 6: Final answer
    x = 800,266.50

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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.