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Finding the Third Proportional to 236,511 and 525,510

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Solution

The third proportional to 236,511 and 525,510 is: 1,167,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,511 : 525,510 = 525,510 : x
  2. Step 2: Convert to fraction form
    236,511/525,510 = 525,510/x
  3. Step 3: Cross multiply
    236,511x = 525,510 × 525,510
  4. Step 4: Simplify right side
    236,511x = 276,160,760,100
  5. Step 5: Solve for x
    x = 276,160,760,100/236,511
  6. Step 6: Final answer
    x = 1,167,644.47

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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.