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Finding the Third Proportional to 262,396 and 543,464

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Solution

The third proportional to 262,396 and 543,464 is: 1,125,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,396 : 543,464 = 543,464 : x
  2. Step 2: Convert to fraction form
    262,396/543,464 = 543,464/x
  3. Step 3: Cross multiply
    262,396x = 543,464 × 543,464
  4. Step 4: Simplify right side
    262,396x = 295,353,119,296
  5. Step 5: Solve for x
    x = 295,353,119,296/262,396
  6. Step 6: Final answer
    x = 1,125,600.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.