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Finding the Third Proportional to 236,441 and 525,370

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Solution

The third proportional to 236,441 and 525,370 is: 1,167,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,441 : 525,370 = 525,370 : x
  2. Step 2: Convert to fraction form
    236,441/525,370 = 525,370/x
  3. Step 3: Cross multiply
    236,441x = 525,370 × 525,370
  4. Step 4: Simplify right side
    236,441x = 276,013,636,900
  5. Step 5: Solve for x
    x = 276,013,636,900/236,441
  6. Step 6: Final answer
    x = 1,167,367.91

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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.