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Finding the Third Proportional to 275,202 and 606,276

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Solution

The third proportional to 275,202 and 606,276 is: 1,335,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,202 : 606,276 = 606,276 : x
  2. Step 2: Convert to fraction form
    275,202/606,276 = 606,276/x
  3. Step 3: Cross multiply
    275,202x = 606,276 × 606,276
  4. Step 4: Simplify right side
    275,202x = 367,570,588,176
  5. Step 5: Solve for x
    x = 367,570,588,176/275,202
  6. Step 6: Final answer
    x = 1,335,639.23

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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.