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Finding the Third Proportional to 238,341 and 493,179

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Solution

The third proportional to 238,341 and 493,179 is: 1,020,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,341 : 493,179 = 493,179 : x
  2. Step 2: Convert to fraction form
    238,341/493,179 = 493,179/x
  3. Step 3: Cross multiply
    238,341x = 493,179 × 493,179
  4. Step 4: Simplify right side
    238,341x = 243,225,526,041
  5. Step 5: Solve for x
    x = 243,225,526,041/238,341
  6. Step 6: Final answer
    x = 1,020,493.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.