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Finding the Third Proportional to 355,789.50 and 762,427.50

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Solution

The third proportional to 355,789.50 and 762,427.50 is: 1,633,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,789.50 : 762,427.50 = 762,427.50 : x
  2. Step 2: Convert to fraction form
    355,789.50/762,427.50 = 762,427.50/x
  3. Step 3: Cross multiply
    355,789.50x = 762,427.50 × 762,427.50
  4. Step 4: Simplify right side
    355,789.50x = 581,295,692,756.25
  5. Step 5: Solve for x
    x = 581,295,692,756.25/355,789.50
  6. Step 6: Final answer
    x = 1,633,819.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.