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Finding the Third Proportional to 263,532 and 579,548

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Solution

The third proportional to 263,532 and 579,548 is: 1,274,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,532 : 579,548 = 579,548 : x
  2. Step 2: Convert to fraction form
    263,532/579,548 = 579,548/x
  3. Step 3: Cross multiply
    263,532x = 579,548 × 579,548
  4. Step 4: Simplify right side
    263,532x = 335,875,884,304
  5. Step 5: Solve for x
    x = 335,875,884,304/263,532
  6. Step 6: Final answer
    x = 1,274,516.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.