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Finding the Third Proportional to 341,684 and 520,952

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Solution

The third proportional to 341,684 and 520,952 is: 794,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,684 : 520,952 = 520,952 : x
  2. Step 2: Convert to fraction form
    341,684/520,952 = 520,952/x
  3. Step 3: Cross multiply
    341,684x = 520,952 × 520,952
  4. Step 4: Simplify right side
    341,684x = 271,390,986,304
  5. Step 5: Solve for x
    x = 271,390,986,304/341,684
  6. Step 6: Final answer
    x = 794,274.79

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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.