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Finding the Third Proportional to 341,695 and 520,967

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Solution

The third proportional to 341,695 and 520,967 is: 794,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,695 : 520,967 = 520,967 : x
  2. Step 2: Convert to fraction form
    341,695/520,967 = 520,967/x
  3. Step 3: Cross multiply
    341,695x = 520,967 × 520,967
  4. Step 4: Simplify right side
    341,695x = 271,406,615,089
  5. Step 5: Solve for x
    x = 271,406,615,089/341,695
  6. Step 6: Final answer
    x = 794,294.96

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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.