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Finding the Third Proportional to 241,664 and 522,144

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Solution

The third proportional to 241,664 and 522,144 is: 1,128,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,664 : 522,144 = 522,144 : x
  2. Step 2: Convert to fraction form
    241,664/522,144 = 522,144/x
  3. Step 3: Cross multiply
    241,664x = 522,144 × 522,144
  4. Step 4: Simplify right side
    241,664x = 272,634,356,736
  5. Step 5: Solve for x
    x = 272,634,356,736/241,664
  6. Step 6: Final answer
    x = 1,128,154.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.