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Finding the Third Proportional to 238,969 and 498,851

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Solution

The third proportional to 238,969 and 498,851 is: 1,041,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,969 : 498,851 = 498,851 : x
  2. Step 2: Convert to fraction form
    238,969/498,851 = 498,851/x
  3. Step 3: Cross multiply
    238,969x = 498,851 × 498,851
  4. Step 4: Simplify right side
    238,969x = 248,852,320,201
  5. Step 5: Solve for x
    x = 248,852,320,201/238,969
  6. Step 6: Final answer
    x = 1,041,358.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.