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Finding the Third Proportional to 267,754 and 579,590

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Solution

The third proportional to 267,754 and 579,590 is: 1,254,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,754 : 579,590 = 579,590 : x
  2. Step 2: Convert to fraction form
    267,754/579,590 = 579,590/x
  3. Step 3: Cross multiply
    267,754x = 579,590 × 579,590
  4. Step 4: Simplify right side
    267,754x = 335,924,568,100
  5. Step 5: Solve for x
    x = 335,924,568,100/267,754
  6. Step 6: Final answer
    x = 1,254,601.49

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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.