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Finding the Third Proportional to 248,484 and 545,781

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Solution

The third proportional to 248,484 and 545,781 is: 1,198,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,484 : 545,781 = 545,781 : x
  2. Step 2: Convert to fraction form
    248,484/545,781 = 545,781/x
  3. Step 3: Cross multiply
    248,484x = 545,781 × 545,781
  4. Step 4: Simplify right side
    248,484x = 297,876,899,961
  5. Step 5: Solve for x
    x = 297,876,899,961/248,484
  6. Step 6: Final answer
    x = 1,198,776.98

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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.