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Finding the Third Proportional to 230,814 and 520,893

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Solution

The third proportional to 230,814 and 520,893 is: 1,175,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,814 : 520,893 = 520,893 : x
  2. Step 2: Convert to fraction form
    230,814/520,893 = 520,893/x
  3. Step 3: Cross multiply
    230,814x = 520,893 × 520,893
  4. Step 4: Simplify right side
    230,814x = 271,329,517,449
  5. Step 5: Solve for x
    x = 271,329,517,449/230,814
  6. Step 6: Final answer
    x = 1,175,533.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.