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Finding the Third Proportional to 335,734.50 and 520,620

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Solution

The third proportional to 335,734.50 and 520,620 is: 807,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,734.50 : 520,620 = 520,620 : x
  2. Step 2: Convert to fraction form
    335,734.50/520,620 = 520,620/x
  3. Step 3: Cross multiply
    335,734.50x = 520,620 × 520,620
  4. Step 4: Simplify right side
    335,734.50x = 271,045,184,400
  5. Step 5: Solve for x
    x = 271,045,184,400/335,734.50
  6. Step 6: Final answer
    x = 807,320.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.