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Finding the Third Proportional to 261,848 and 574,672

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Solution

The third proportional to 261,848 and 574,672 is: 1,261,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,848 : 574,672 = 574,672 : x
  2. Step 2: Convert to fraction form
    261,848/574,672 = 574,672/x
  3. Step 3: Cross multiply
    261,848x = 574,672 × 574,672
  4. Step 4: Simplify right side
    261,848x = 330,247,907,584
  5. Step 5: Solve for x
    x = 330,247,907,584/261,848
  6. Step 6: Final answer
    x = 1,261,219.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.