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Finding the Third Proportional to 262,350.56 and 556,228.69

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Solution

The third proportional to 262,350.56 and 556,228.69 is: 1,179,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,350.56 : 556,228.69 = 556,228.69 : x
  2. Step 2: Convert to fraction form
    262,350.56/556,228.69 = 556,228.69/x
  3. Step 3: Cross multiply
    262,350.56x = 556,228.69 × 556,228.69
  4. Step 4: Simplify right side
    262,350.56x = 309,390,352,797.97
  5. Step 5: Solve for x
    x = 309,390,352,797.97/262,350.56
  6. Step 6: Final answer
    x = 1,179,301.27

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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.