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Finding the Third Proportional to 270,068 and 581,684

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Solution

The third proportional to 270,068 and 581,684 is: 1,252,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,068 : 581,684 = 581,684 : x
  2. Step 2: Convert to fraction form
    270,068/581,684 = 581,684/x
  3. Step 3: Cross multiply
    270,068x = 581,684 × 581,684
  4. Step 4: Simplify right side
    270,068x = 338,356,275,856
  5. Step 5: Solve for x
    x = 338,356,275,856/270,068
  6. Step 6: Final answer
    x = 1,252,855.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.