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Finding the Third Proportional to 251,213 and 546,058

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Solution

The third proportional to 251,213 and 546,058 is: 1,186,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,213 : 546,058 = 546,058 : x
  2. Step 2: Convert to fraction form
    251,213/546,058 = 546,058/x
  3. Step 3: Cross multiply
    251,213x = 546,058 × 546,058
  4. Step 4: Simplify right side
    251,213x = 298,179,339,364
  5. Step 5: Solve for x
    x = 298,179,339,364/251,213
  6. Step 6: Final answer
    x = 1,186,958.24

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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.