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Finding the Third Proportional to 341,693 and 520,964

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Solution

The third proportional to 341,693 and 520,964 is: 794,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,693 : 520,964 = 520,964 : x
  2. Step 2: Convert to fraction form
    341,693/520,964 = 520,964/x
  3. Step 3: Cross multiply
    341,693x = 520,964 × 520,964
  4. Step 4: Simplify right side
    341,693x = 271,403,489,296
  5. Step 5: Solve for x
    x = 271,403,489,296/341,693
  6. Step 6: Final answer
    x = 794,290.46

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