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Finding the Third Proportional to 264,581.44 and 579,828.38

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Solution

The third proportional to 264,581.44 and 579,828.38 is: 1,270,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,581.44 : 579,828.38 = 579,828.38 : x
  2. Step 2: Convert to fraction form
    264,581.44/579,828.38 = 579,828.38/x
  3. Step 3: Cross multiply
    264,581.44x = 579,828.38 × 579,828.38
  4. Step 4: Simplify right side
    264,581.44x = 336,200,944,455.14
  5. Step 5: Solve for x
    x = 336,200,944,455.14/264,581.44
  6. Step 6: Final answer
    x = 1,270,689.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.