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Finding the Third Proportional to 257,719.50 and 533,116.50

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Solution

The third proportional to 257,719.50 and 533,116.50 is: 1,102,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,719.50 : 533,116.50 = 533,116.50 : x
  2. Step 2: Convert to fraction form
    257,719.50/533,116.50 = 533,116.50/x
  3. Step 3: Cross multiply
    257,719.50x = 533,116.50 × 533,116.50
  4. Step 4: Simplify right side
    257,719.50x = 284,213,202,572.25
  5. Step 5: Solve for x
    x = 284,213,202,572.25/257,719.50
  6. Step 6: Final answer
    x = 1,102,800.54

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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.