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Finding the Third Proportional to 236,448 and 525,384

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Solution

The third proportional to 236,448 and 525,384 is: 1,167,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,448 : 525,384 = 525,384 : x
  2. Step 2: Convert to fraction form
    236,448/525,384 = 525,384/x
  3. Step 3: Cross multiply
    236,448x = 525,384 × 525,384
  4. Step 4: Simplify right side
    236,448x = 276,028,347,456
  5. Step 5: Solve for x
    x = 276,028,347,456/236,448
  6. Step 6: Final answer
    x = 1,167,395.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.