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Finding the Third Proportional to 262,443 and 572,271

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Solution

The third proportional to 262,443 and 572,271 is: 1,247,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,443 : 572,271 = 572,271 : x
  2. Step 2: Convert to fraction form
    262,443/572,271 = 572,271/x
  3. Step 3: Cross multiply
    262,443x = 572,271 × 572,271
  4. Step 4: Simplify right side
    262,443x = 327,494,097,441
  5. Step 5: Solve for x
    x = 327,494,097,441/262,443
  6. Step 6: Final answer
    x = 1,247,867.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.