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Finding the Third Proportional to 253,928 and 546,088

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Solution

The third proportional to 253,928 and 546,088 is: 1,174,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,928 : 546,088 = 546,088 : x
  2. Step 2: Convert to fraction form
    253,928/546,088 = 546,088/x
  3. Step 3: Cross multiply
    253,928x = 546,088 × 546,088
  4. Step 4: Simplify right side
    253,928x = 298,212,103,744
  5. Step 5: Solve for x
    x = 298,212,103,744/253,928
  6. Step 6: Final answer
    x = 1,174,396.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.