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Finding the Third Proportional to 270,900 and 639,540

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Solution

The third proportional to 270,900 and 639,540 is: 1,509,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,900 : 639,540 = 639,540 : x
  2. Step 2: Convert to fraction form
    270,900/639,540 = 639,540/x
  3. Step 3: Cross multiply
    270,900x = 639,540 × 639,540
  4. Step 4: Simplify right side
    270,900x = 409,011,411,600
  5. Step 5: Solve for x
    x = 409,011,411,600/270,900
  6. Step 6: Final answer
    x = 1,509,824.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.