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Finding the Third Proportional to 262,576 and 573,280

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Solution

The third proportional to 262,576 and 573,280 is: 1,251,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,576 : 573,280 = 573,280 : x
  2. Step 2: Convert to fraction form
    262,576/573,280 = 573,280/x
  3. Step 3: Cross multiply
    262,576x = 573,280 × 573,280
  4. Step 4: Simplify right side
    262,576x = 328,649,958,400
  5. Step 5: Solve for x
    x = 328,649,958,400/262,576
  6. Step 6: Final answer
    x = 1,251,637.46

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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.