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Finding the Third Proportional to 253,820 and 550,084

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Solution

The third proportional to 253,820 and 550,084 is: 1,192,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,820 : 550,084 = 550,084 : x
  2. Step 2: Convert to fraction form
    253,820/550,084 = 550,084/x
  3. Step 3: Cross multiply
    253,820x = 550,084 × 550,084
  4. Step 4: Simplify right side
    253,820x = 302,592,407,056
  5. Step 5: Solve for x
    x = 302,592,407,056/253,820
  6. Step 6: Final answer
    x = 1,192,153.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.