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Finding the Third Proportional to 262,504 and 573,124

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Solution

The third proportional to 262,504 and 573,124 is: 1,251,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,504 : 573,124 = 573,124 : x
  2. Step 2: Convert to fraction form
    262,504/573,124 = 573,124/x
  3. Step 3: Cross multiply
    262,504x = 573,124 × 573,124
  4. Step 4: Simplify right side
    262,504x = 328,471,119,376
  5. Step 5: Solve for x
    x = 328,471,119,376/262,504
  6. Step 6: Final answer
    x = 1,251,299.48

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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.