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Finding the Third Proportional to 267,475 and 577,081

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Solution

The third proportional to 267,475 and 577,081 is: 1,245,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,475 : 577,081 = 577,081 : x
  2. Step 2: Convert to fraction form
    267,475/577,081 = 577,081/x
  3. Step 3: Cross multiply
    267,475x = 577,081 × 577,081
  4. Step 4: Simplify right side
    267,475x = 333,022,480,561
  5. Step 5: Solve for x
    x = 333,022,480,561/267,475
  6. Step 6: Final answer
    x = 1,245,060.21

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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.