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Finding the Third Proportional to 543,838 and 827,271

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Solution

The third proportional to 543,838 and 827,271 is: 1,258,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,838 : 827,271 = 827,271 : x
  2. Step 2: Convert to fraction form
    543,838/827,271 = 827,271/x
  3. Step 3: Cross multiply
    543,838x = 827,271 × 827,271
  4. Step 4: Simplify right side
    543,838x = 684,377,307,441
  5. Step 5: Solve for x
    x = 684,377,307,441/543,838
  6. Step 6: Final answer
    x = 1,258,421.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.