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Finding the Third Proportional to 237,742 and 512,934

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Solution

The third proportional to 237,742 and 512,934 is: 1,106,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,742 : 512,934 = 512,934 : x
  2. Step 2: Convert to fraction form
    237,742/512,934 = 512,934/x
  3. Step 3: Cross multiply
    237,742x = 512,934 × 512,934
  4. Step 4: Simplify right side
    237,742x = 263,101,288,356
  5. Step 5: Solve for x
    x = 263,101,288,356/237,742
  6. Step 6: Final answer
    x = 1,106,667.26

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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.