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Finding the Third Proportional to 250,461 and 548,676

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Solution

The third proportional to 250,461 and 548,676 is: 1,201,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,461 : 548,676 = 548,676 : x
  2. Step 2: Convert to fraction form
    250,461/548,676 = 548,676/x
  3. Step 3: Cross multiply
    250,461x = 548,676 × 548,676
  4. Step 4: Simplify right side
    250,461x = 301,045,352,976
  5. Step 5: Solve for x
    x = 301,045,352,976/250,461
  6. Step 6: Final answer
    x = 1,201,964.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.