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Finding the Third Proportional to 355,826.25 and 569,112.75

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Solution

The third proportional to 355,826.25 and 569,112.75 is: 910,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,826.25 : 569,112.75 = 569,112.75 : x
  2. Step 2: Convert to fraction form
    355,826.25/569,112.75 = 569,112.75/x
  3. Step 3: Cross multiply
    355,826.25x = 569,112.75 × 569,112.75
  4. Step 4: Simplify right side
    355,826.25x = 323,889,322,212.56
  5. Step 5: Solve for x
    x = 323,889,322,212.56/355,826.25
  6. Step 6: Final answer
    x = 910,245.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.