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Finding the Third Proportional to 403,529 and 565,536

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Solution

The third proportional to 403,529 and 565,536 is: 792,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,529 : 565,536 = 565,536 : x
  2. Step 2: Convert to fraction form
    403,529/565,536 = 565,536/x
  3. Step 3: Cross multiply
    403,529x = 565,536 × 565,536
  4. Step 4: Simplify right side
    403,529x = 319,830,967,296
  5. Step 5: Solve for x
    x = 319,830,967,296/403,529
  6. Step 6: Final answer
    x = 792,584.84

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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.