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Finding the Third Proportional to 234,954 and 503,145

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Solution

The third proportional to 234,954 and 503,145 is: 1,077,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,954 : 503,145 = 503,145 : x
  2. Step 2: Convert to fraction form
    234,954/503,145 = 503,145/x
  3. Step 3: Cross multiply
    234,954x = 503,145 × 503,145
  4. Step 4: Simplify right side
    234,954x = 253,154,891,025
  5. Step 5: Solve for x
    x = 253,154,891,025/234,954
  6. Step 6: Final answer
    x = 1,077,465.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.