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Finding the Third Proportional to 261,996.50 and 533,628

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Solution

The third proportional to 261,996.50 and 533,628 is: 1,086,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,996.50 : 533,628 = 533,628 : x
  2. Step 2: Convert to fraction form
    261,996.50/533,628 = 533,628/x
  3. Step 3: Cross multiply
    261,996.50x = 533,628 × 533,628
  4. Step 4: Simplify right side
    261,996.50x = 284,758,842,384
  5. Step 5: Solve for x
    x = 284,758,842,384/261,996.50
  6. Step 6: Final answer
    x = 1,086,880.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.