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Finding the Third Proportional to 264,504 and 568,776.75

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Solution

The third proportional to 264,504 and 568,776.75 is: 1,223,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,504 : 568,776.75 = 568,776.75 : x
  2. Step 2: Convert to fraction form
    264,504/568,776.75 = 568,776.75/x
  3. Step 3: Cross multiply
    264,504x = 568,776.75 × 568,776.75
  4. Step 4: Simplify right side
    264,504x = 323,506,991,340.56
  5. Step 5: Solve for x
    x = 323,506,991,340.56/264,504
  6. Step 6: Final answer
    x = 1,223,070.32

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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.