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Finding the Third Proportional to 262,359.28 and 556,246.88

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Solution

The third proportional to 262,359.28 and 556,246.88 is: 1,179,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,359.28 : 556,246.88 = 556,246.88 : x
  2. Step 2: Convert to fraction form
    262,359.28/556,246.88 = 556,246.88/x
  3. Step 3: Cross multiply
    262,359.28x = 556,246.88 × 556,246.88
  4. Step 4: Simplify right side
    262,359.28x = 309,410,585,947.27
  5. Step 5: Solve for x
    x = 309,410,585,947.27/262,359.28
  6. Step 6: Final answer
    x = 1,179,339.20

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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.