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Finding the Third Proportional to 251,313 and 546,258

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Solution

The third proportional to 251,313 and 546,258 is: 1,187,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,313 : 546,258 = 546,258 : x
  2. Step 2: Convert to fraction form
    251,313/546,258 = 546,258/x
  3. Step 3: Cross multiply
    251,313x = 546,258 × 546,258
  4. Step 4: Simplify right side
    251,313x = 298,397,802,564
  5. Step 5: Solve for x
    x = 298,397,802,564/251,313
  6. Step 6: Final answer
    x = 1,187,355.22

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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.