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Finding the Third Proportional to 403,504 and 565,500

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Solution

The third proportional to 403,504 and 565,500 is: 792,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,504 : 565,500 = 565,500 : x
  2. Step 2: Convert to fraction form
    403,504/565,500 = 565,500/x
  3. Step 3: Cross multiply
    403,504x = 565,500 × 565,500
  4. Step 4: Simplify right side
    403,504x = 319,790,250,000
  5. Step 5: Solve for x
    x = 319,790,250,000/403,504
  6. Step 6: Final answer
    x = 792,533.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.