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Finding the Third Proportional to 253,357 and 550,521

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Solution

The third proportional to 253,357 and 550,521 is: 1,196,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,357 : 550,521 = 550,521 : x
  2. Step 2: Convert to fraction form
    253,357/550,521 = 550,521/x
  3. Step 3: Cross multiply
    253,357x = 550,521 × 550,521
  4. Step 4: Simplify right side
    253,357x = 303,073,371,441
  5. Step 5: Solve for x
    x = 303,073,371,441/253,357
  6. Step 6: Final answer
    x = 1,196,230.50

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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.