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Finding the Third Proportional to 264,480.75 and 568,730.25

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Solution

The third proportional to 264,480.75 and 568,730.25 is: 1,222,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,480.75 : 568,730.25 = 568,730.25 : x
  2. Step 2: Convert to fraction form
    264,480.75/568,730.25 = 568,730.25/x
  3. Step 3: Cross multiply
    264,480.75x = 568,730.25 × 568,730.25
  4. Step 4: Simplify right side
    264,480.75x = 323,454,097,265.06
  5. Step 5: Solve for x
    x = 323,454,097,265.06/264,480.75
  6. Step 6: Final answer
    x = 1,222,977.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.