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Finding the Third Proportional to 261,228 and 533,526

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Solution

The third proportional to 261,228 and 533,526 is: 1,089,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,228 : 533,526 = 533,526 : x
  2. Step 2: Convert to fraction form
    261,228/533,526 = 533,526/x
  3. Step 3: Cross multiply
    261,228x = 533,526 × 533,526
  4. Step 4: Simplify right side
    261,228x = 284,649,992,676
  5. Step 5: Solve for x
    x = 284,649,992,676/261,228
  6. Step 6: Final answer
    x = 1,089,661.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.