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Finding the Third Proportional to 262,680 and 544,044

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Solution

The third proportional to 262,680 and 544,044 is: 1,126,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,680 : 544,044 = 544,044 : x
  2. Step 2: Convert to fraction form
    262,680/544,044 = 544,044/x
  3. Step 3: Cross multiply
    262,680x = 544,044 × 544,044
  4. Step 4: Simplify right side
    262,680x = 295,983,873,936
  5. Step 5: Solve for x
    x = 295,983,873,936/262,680
  6. Step 6: Final answer
    x = 1,126,784.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.