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Finding the Third Proportional to 258,364 and 547,996

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Solution

The third proportional to 258,364 and 547,996 is: 1,162,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,364 : 547,996 = 547,996 : x
  2. Step 2: Convert to fraction form
    258,364/547,996 = 547,996/x
  3. Step 3: Cross multiply
    258,364x = 547,996 × 547,996
  4. Step 4: Simplify right side
    258,364x = 300,299,616,016
  5. Step 5: Solve for x
    x = 300,299,616,016/258,364
  6. Step 6: Final answer
    x = 1,162,312.15

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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.