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Finding the Third Proportional to 268,530.75 and 579,097.13

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Solution

The third proportional to 268,530.75 and 579,097.13 is: 1,248,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,530.75 : 579,097.13 = 579,097.13 : x
  2. Step 2: Convert to fraction form
    268,530.75/579,097.13 = 579,097.13/x
  3. Step 3: Cross multiply
    268,530.75x = 579,097.13 × 579,097.13
  4. Step 4: Simplify right side
    268,530.75x = 335,353,480,183.27
  5. Step 5: Solve for x
    x = 335,353,480,183.27/268,530.75
  6. Step 6: Final answer
    x = 1,248,845.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.