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Finding the Third Proportional to 258,517 and 546,841

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Solution

The third proportional to 258,517 and 546,841 is: 1,156,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,517 : 546,841 = 546,841 : x
  2. Step 2: Convert to fraction form
    258,517/546,841 = 546,841/x
  3. Step 3: Cross multiply
    258,517x = 546,841 × 546,841
  4. Step 4: Simplify right side
    258,517x = 299,035,079,281
  5. Step 5: Solve for x
    x = 299,035,079,281/258,517
  6. Step 6: Final answer
    x = 1,156,732.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.