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Finding the Third Proportional to 280,511.25 and 596,034.75

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Solution

The third proportional to 280,511.25 and 596,034.75 is: 1,266,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,511.25 : 596,034.75 = 596,034.75 : x
  2. Step 2: Convert to fraction form
    280,511.25/596,034.75 = 596,034.75/x
  3. Step 3: Cross multiply
    280,511.25x = 596,034.75 × 596,034.75
  4. Step 4: Simplify right side
    280,511.25x = 355,257,423,207.56
  5. Step 5: Solve for x
    x = 355,257,423,207.56/280,511.25
  6. Step 6: Final answer
    x = 1,266,464.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.