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Finding the Third Proportional to 260,358.75 and 570,654

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Solution

The third proportional to 260,358.75 and 570,654 is: 1,250,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,358.75 : 570,654 = 570,654 : x
  2. Step 2: Convert to fraction form
    260,358.75/570,654 = 570,654/x
  3. Step 3: Cross multiply
    260,358.75x = 570,654 × 570,654
  4. Step 4: Simplify right side
    260,358.75x = 325,645,987,716
  5. Step 5: Solve for x
    x = 325,645,987,716/260,358.75
  6. Step 6: Final answer
    x = 1,250,758.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.