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Finding the Third Proportional to 264,850.38 and 579,216.13

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Solution

The third proportional to 264,850.38 and 579,216.13 is: 1,266,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,850.38 : 579,216.13 = 579,216.13 : x
  2. Step 2: Convert to fraction form
    264,850.38/579,216.13 = 579,216.13/x
  3. Step 3: Cross multiply
    264,850.38x = 579,216.13 × 579,216.13
  4. Step 4: Simplify right side
    264,850.38x = 335,491,319,460.02
  5. Step 5: Solve for x
    x = 335,491,319,460.02/264,850.38
  6. Step 6: Final answer
    x = 1,266,720.20

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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.