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Finding the Third Proportional to 253,926 and 546,084

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Solution

The third proportional to 253,926 and 546,084 is: 1,174,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,926 : 546,084 = 546,084 : x
  2. Step 2: Convert to fraction form
    253,926/546,084 = 546,084/x
  3. Step 3: Cross multiply
    253,926x = 546,084 × 546,084
  4. Step 4: Simplify right side
    253,926x = 298,207,735,056
  5. Step 5: Solve for x
    x = 298,207,735,056/253,926
  6. Step 6: Final answer
    x = 1,174,388.35

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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.