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Finding the Third Proportional to 251,268 and 546,789

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Solution

The third proportional to 251,268 and 546,789 is: 1,189,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,268 : 546,789 = 546,789 : x
  2. Step 2: Convert to fraction form
    251,268/546,789 = 546,789/x
  3. Step 3: Cross multiply
    251,268x = 546,789 × 546,789
  4. Step 4: Simplify right side
    251,268x = 298,978,210,521
  5. Step 5: Solve for x
    x = 298,978,210,521/251,268
  6. Step 6: Final answer
    x = 1,189,877.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.