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Finding the Third Proportional to 264,851.44 and 566,061.75

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Solution

The third proportional to 264,851.44 and 566,061.75 is: 1,209,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,851.44 : 566,061.75 = 566,061.75 : x
  2. Step 2: Convert to fraction form
    264,851.44/566,061.75 = 566,061.75/x
  3. Step 3: Cross multiply
    264,851.44x = 566,061.75 × 566,061.75
  4. Step 4: Simplify right side
    264,851.44x = 320,425,904,813.06
  5. Step 5: Solve for x
    x = 320,425,904,813.06/264,851.44
  6. Step 6: Final answer
    x = 1,209,832.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.