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Finding the Third Proportional to 242,073 and 512,941

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Solution

The third proportional to 242,073 and 512,941 is: 1,086,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,073 : 512,941 = 512,941 : x
  2. Step 2: Convert to fraction form
    242,073/512,941 = 512,941/x
  3. Step 3: Cross multiply
    242,073x = 512,941 × 512,941
  4. Step 4: Simplify right side
    242,073x = 263,108,469,481
  5. Step 5: Solve for x
    x = 263,108,469,481/242,073
  6. Step 6: Final answer
    x = 1,086,897.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.