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Finding the Third Proportional to 262,518 and 572,551

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Solution

The third proportional to 262,518 and 572,551 is: 1,248,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,518 : 572,551 = 572,551 : x
  2. Step 2: Convert to fraction form
    262,518/572,551 = 572,551/x
  3. Step 3: Cross multiply
    262,518x = 572,551 × 572,551
  4. Step 4: Simplify right side
    262,518x = 327,814,647,601
  5. Step 5: Solve for x
    x = 327,814,647,601/262,518
  6. Step 6: Final answer
    x = 1,248,732.08

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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.