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Finding the Third Proportional to 270,073 and 581,694

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Solution

The third proportional to 270,073 and 581,694 is: 1,252,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,073 : 581,694 = 581,694 : x
  2. Step 2: Convert to fraction form
    270,073/581,694 = 581,694/x
  3. Step 3: Cross multiply
    270,073x = 581,694 × 581,694
  4. Step 4: Simplify right side
    270,073x = 338,367,909,636
  5. Step 5: Solve for x
    x = 338,367,909,636/270,073
  6. Step 6: Final answer
    x = 1,252,875.74

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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.