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Finding the Third Proportional to 270,648 and 581,616

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Solution

The third proportional to 270,648 and 581,616 is: 1,249,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,648 : 581,616 = 581,616 : x
  2. Step 2: Convert to fraction form
    270,648/581,616 = 581,616/x
  3. Step 3: Cross multiply
    270,648x = 581,616 × 581,616
  4. Step 4: Simplify right side
    270,648x = 338,277,171,456
  5. Step 5: Solve for x
    x = 338,277,171,456/270,648
  6. Step 6: Final answer
    x = 1,249,878.70

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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.