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Finding the Third Proportional to 236,484 and 525,456

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Solution

The third proportional to 236,484 and 525,456 is: 1,167,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,484 : 525,456 = 525,456 : x
  2. Step 2: Convert to fraction form
    236,484/525,456 = 525,456/x
  3. Step 3: Cross multiply
    236,484x = 525,456 × 525,456
  4. Step 4: Simplify right side
    236,484x = 276,104,007,936
  5. Step 5: Solve for x
    x = 276,104,007,936/236,484
  6. Step 6: Final answer
    x = 1,167,537.80

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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.