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Finding the Third Proportional to 264,908 and 578,992

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Solution

The third proportional to 264,908 and 578,992 is: 1,265,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,908 : 578,992 = 578,992 : x
  2. Step 2: Convert to fraction form
    264,908/578,992 = 578,992/x
  3. Step 3: Cross multiply
    264,908x = 578,992 × 578,992
  4. Step 4: Simplify right side
    264,908x = 335,231,736,064
  5. Step 5: Solve for x
    x = 335,231,736,064/264,908
  6. Step 6: Final answer
    x = 1,265,464.75

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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.