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Finding the Third Proportional to 237,921 and 512,982

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Solution

The third proportional to 237,921 and 512,982 is: 1,106,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,921 : 512,982 = 512,982 : x
  2. Step 2: Convert to fraction form
    237,921/512,982 = 512,982/x
  3. Step 3: Cross multiply
    237,921x = 512,982 × 512,982
  4. Step 4: Simplify right side
    237,921x = 263,150,532,324
  5. Step 5: Solve for x
    x = 263,150,532,324/237,921
  6. Step 6: Final answer
    x = 1,106,041.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.