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Finding the Third Proportional to 257,711.63 and 533,100.94

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Solution

The third proportional to 257,711.63 and 533,100.94 is: 1,102,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,711.63 : 533,100.94 = 533,100.94 : x
  2. Step 2: Convert to fraction form
    257,711.63/533,100.94 = 533,100.94/x
  3. Step 3: Cross multiply
    257,711.63x = 533,100.94 × 533,100.94
  4. Step 4: Simplify right side
    257,711.63x = 284,196,609,563.38
  5. Step 5: Solve for x
    x = 284,196,609,563.38/257,711.63
  6. Step 6: Final answer
    x = 1,102,769.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.