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Finding the Third Proportional to 239,919 and 509,358

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Solution

The third proportional to 239,919 and 509,358 is: 1,081,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,919 : 509,358 = 509,358 : x
  2. Step 2: Convert to fraction form
    239,919/509,358 = 509,358/x
  3. Step 3: Cross multiply
    239,919x = 509,358 × 509,358
  4. Step 4: Simplify right side
    239,919x = 259,445,572,164
  5. Step 5: Solve for x
    x = 259,445,572,164/239,919
  6. Step 6: Final answer
    x = 1,081,388.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.