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Finding the Third Proportional to 243,293 and 522,548

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Solution

The third proportional to 243,293 and 522,548 is: 1,122,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,293 : 522,548 = 522,548 : x
  2. Step 2: Convert to fraction form
    243,293/522,548 = 522,548/x
  3. Step 3: Cross multiply
    243,293x = 522,548 × 522,548
  4. Step 4: Simplify right side
    243,293x = 273,056,412,304
  5. Step 5: Solve for x
    x = 273,056,412,304/243,293
  6. Step 6: Final answer
    x = 1,122,335.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.