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Finding the Third Proportional to 236,520 and 525,526

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Solution

The third proportional to 236,520 and 525,526 is: 1,167,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,520 : 525,526 = 525,526 : x
  2. Step 2: Convert to fraction form
    236,520/525,526 = 525,526/x
  3. Step 3: Cross multiply
    236,520x = 525,526 × 525,526
  4. Step 4: Simplify right side
    236,520x = 276,177,576,676
  5. Step 5: Solve for x
    x = 276,177,576,676/236,520
  6. Step 6: Final answer
    x = 1,167,671.13

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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.