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Finding the Third Proportional to 263,614.13 and 545,919.75

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Solution

The third proportional to 263,614.13 and 545,919.75 is: 1,130,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,614.13 : 545,919.75 = 545,919.75 : x
  2. Step 2: Convert to fraction form
    263,614.13/545,919.75 = 545,919.75/x
  3. Step 3: Cross multiply
    263,614.13x = 545,919.75 × 545,919.75
  4. Step 4: Simplify right side
    263,614.13x = 298,028,373,440.06
  5. Step 5: Solve for x
    x = 298,028,373,440.06/263,614.13
  6. Step 6: Final answer
    x = 1,130,547.82

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.