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Finding the Third Proportional to 241,707 and 498,954

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Solution

The third proportional to 241,707 and 498,954 is: 1,029,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,707 : 498,954 = 498,954 : x
  2. Step 2: Convert to fraction form
    241,707/498,954 = 498,954/x
  3. Step 3: Cross multiply
    241,707x = 498,954 × 498,954
  4. Step 4: Simplify right side
    241,707x = 248,955,094,116
  5. Step 5: Solve for x
    x = 248,955,094,116/241,707
  6. Step 6: Final answer
    x = 1,029,987.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.