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Finding the Third Proportional to 262,584 and 573,288

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Solution

The third proportional to 262,584 and 573,288 is: 1,251,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,584 : 573,288 = 573,288 : x
  2. Step 2: Convert to fraction form
    262,584/573,288 = 573,288/x
  3. Step 3: Cross multiply
    262,584x = 573,288 × 573,288
  4. Step 4: Simplify right side
    262,584x = 328,659,130,944
  5. Step 5: Solve for x
    x = 328,659,130,944/262,584
  6. Step 6: Final answer
    x = 1,251,634.26

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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.