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Finding the Third Proportional to 251,838 and 545,863

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Solution

The third proportional to 251,838 and 545,863 is: 1,183,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,838 : 545,863 = 545,863 : x
  2. Step 2: Convert to fraction form
    251,838/545,863 = 545,863/x
  3. Step 3: Cross multiply
    251,838x = 545,863 × 545,863
  4. Step 4: Simplify right side
    251,838x = 297,966,414,769
  5. Step 5: Solve for x
    x = 297,966,414,769/251,838
  6. Step 6: Final answer
    x = 1,183,167.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.