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Finding the Third Proportional to 258,515 and 546,837

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Solution

The third proportional to 258,515 and 546,837 is: 1,156,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,515 : 546,837 = 546,837 : x
  2. Step 2: Convert to fraction form
    258,515/546,837 = 546,837/x
  3. Step 3: Cross multiply
    258,515x = 546,837 × 546,837
  4. Step 4: Simplify right side
    258,515x = 299,030,704,569
  5. Step 5: Solve for x
    x = 299,030,704,569/258,515
  6. Step 6: Final answer
    x = 1,156,724.77

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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.