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Finding the Third Proportional to 275,182 and 562,028

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Solution

The third proportional to 275,182 and 562,028 is: 1,147,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,182 : 562,028 = 562,028 : x
  2. Step 2: Convert to fraction form
    275,182/562,028 = 562,028/x
  3. Step 3: Cross multiply
    275,182x = 562,028 × 562,028
  4. Step 4: Simplify right side
    275,182x = 315,875,472,784
  5. Step 5: Solve for x
    x = 315,875,472,784/275,182
  6. Step 6: Final answer
    x = 1,147,878.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.