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Finding the Third Proportional to 305,740.13 and 505,311.75

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Solution

The third proportional to 305,740.13 and 505,311.75 is: 835,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,740.13 : 505,311.75 = 505,311.75 : x
  2. Step 2: Convert to fraction form
    305,740.13/505,311.75 = 505,311.75/x
  3. Step 3: Cross multiply
    305,740.13x = 505,311.75 × 505,311.75
  4. Step 4: Simplify right side
    305,740.13x = 255,339,964,688.06
  5. Step 5: Solve for x
    x = 255,339,964,688.06/305,740.13
  6. Step 6: Final answer
    x = 835,153.60

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.