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Finding the Third Proportional to 245,659.50 and 520,844.25

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Solution

The third proportional to 245,659.50 and 520,844.25 is: 1,104,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,659.50 : 520,844.25 = 520,844.25 : x
  2. Step 2: Convert to fraction form
    245,659.50/520,844.25 = 520,844.25/x
  3. Step 3: Cross multiply
    245,659.50x = 520,844.25 × 520,844.25
  4. Step 4: Simplify right side
    245,659.50x = 271,278,732,758.06
  5. Step 5: Solve for x
    x = 271,278,732,758.06/245,659.50
  6. Step 6: Final answer
    x = 1,104,287.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.