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Finding the Third Proportional to 254,785.50 and 523,239.75

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Solution

The third proportional to 254,785.50 and 523,239.75 is: 1,074,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,785.50 : 523,239.75 = 523,239.75 : x
  2. Step 2: Convert to fraction form
    254,785.50/523,239.75 = 523,239.75/x
  3. Step 3: Cross multiply
    254,785.50x = 523,239.75 × 523,239.75
  4. Step 4: Simplify right side
    254,785.50x = 273,779,835,980.06
  5. Step 5: Solve for x
    x = 273,779,835,980.06/254,785.50
  6. Step 6: Final answer
    x = 1,074,550.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.