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Finding the Third Proportional to 341,703 and 520,983

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Solution

The third proportional to 341,703 and 520,983 is: 794,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,703 : 520,983 = 520,983 : x
  2. Step 2: Convert to fraction form
    341,703/520,983 = 520,983/x
  3. Step 3: Cross multiply
    341,703x = 520,983 × 520,983
  4. Step 4: Simplify right side
    341,703x = 271,423,286,289
  5. Step 5: Solve for x
    x = 271,423,286,289/341,703
  6. Step 6: Final answer
    x = 794,325.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.