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Finding the Third Proportional to 355,232.25 and 767,328.75

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Solution

The third proportional to 355,232.25 and 767,328.75 is: 1,657,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,232.25 : 767,328.75 = 767,328.75 : x
  2. Step 2: Convert to fraction form
    355,232.25/767,328.75 = 767,328.75/x
  3. Step 3: Cross multiply
    355,232.25x = 767,328.75 × 767,328.75
  4. Step 4: Simplify right side
    355,232.25x = 588,793,410,576.56
  5. Step 5: Solve for x
    x = 588,793,410,576.56/355,232.25
  6. Step 6: Final answer
    x = 1,657,488.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.