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Finding the Third Proportional to 264,449.25 and 581,384.25

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Solution

The third proportional to 264,449.25 and 581,384.25 is: 1,278,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,449.25 : 581,384.25 = 581,384.25 : x
  2. Step 2: Convert to fraction form
    264,449.25/581,384.25 = 581,384.25/x
  3. Step 3: Cross multiply
    264,449.25x = 581,384.25 × 581,384.25
  4. Step 4: Simplify right side
    264,449.25x = 338,007,646,148.06
  5. Step 5: Solve for x
    x = 338,007,646,148.06/264,449.25
  6. Step 6: Final answer
    x = 1,278,156.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.