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Finding the Third Proportional to 241,504 and 529,664

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Solution

The third proportional to 241,504 and 529,664 is: 1,161,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,504 : 529,664 = 529,664 : x
  2. Step 2: Convert to fraction form
    241,504/529,664 = 529,664/x
  3. Step 3: Cross multiply
    241,504x = 529,664 × 529,664
  4. Step 4: Simplify right side
    241,504x = 280,543,952,896
  5. Step 5: Solve for x
    x = 280,543,952,896/241,504
  6. Step 6: Final answer
    x = 1,161,653.44

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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.