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Finding the Third Proportional to 261,226 and 533,522

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Solution

The third proportional to 261,226 and 533,522 is: 1,089,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,226 : 533,522 = 533,522 : x
  2. Step 2: Convert to fraction form
    261,226/533,522 = 533,522/x
  3. Step 3: Cross multiply
    261,226x = 533,522 × 533,522
  4. Step 4: Simplify right side
    261,226x = 284,645,724,484
  5. Step 5: Solve for x
    x = 284,645,724,484/261,226
  6. Step 6: Final answer
    x = 1,089,653.11

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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.