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Finding the Third Proportional to 267,461 and 577,054

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Solution

The third proportional to 267,461 and 577,054 is: 1,245,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,461 : 577,054 = 577,054 : x
  2. Step 2: Convert to fraction form
    267,461/577,054 = 577,054/x
  3. Step 3: Cross multiply
    267,461x = 577,054 × 577,054
  4. Step 4: Simplify right side
    267,461x = 332,991,318,916
  5. Step 5: Solve for x
    x = 332,991,318,916/267,461
  6. Step 6: Final answer
    x = 1,245,008.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.