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Finding the Third Proportional to 341,705 and 520,986

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Solution

The third proportional to 341,705 and 520,986 is: 794,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,705 : 520,986 = 520,986 : x
  2. Step 2: Convert to fraction form
    341,705/520,986 = 520,986/x
  3. Step 3: Cross multiply
    341,705x = 520,986 × 520,986
  4. Step 4: Simplify right side
    341,705x = 271,426,412,196
  5. Step 5: Solve for x
    x = 271,426,412,196/341,705
  6. Step 6: Final answer
    x = 794,329.65

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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.